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vector-user-menu-logged-out" title="অধিক বিকল্প" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="ব্যক্তিগত সৰঞ্জাম" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">ব্যক্তিগত সৰঞ্জাম</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="User menu" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_as.wikipedia.org&uselang=as"><span>দান কৰক</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E0%A6%AC%E0%A6%BF%E0%A6%B6%E0%A7%87%E0%A6%B7:%E0%A6%B8%E0%A6%A6%E0%A6%B8%E0%A7%8D%E0%A6%AF%E0%A6%AD%E0%A7%81%E0%A6%95%E0%A7%8D%E0%A6%A4%E0%A6%BF&returnto=%E0%A6%98%E0%A6%BE%E0%A6%A4%E0%A6%BE%E0%A6%82%E0%A6%95" title="আপোনাক এটা একাউণ্ট সৃষ্টি কৰি প্ৰৱেশ কৰিবলৈ অনুৰোধ জনোৱা হৈছে, কিন্তু এয়া বাধ্যতামূলক নহয়"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>একাউণ্ট সৃষ্টি কৰক</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%E0%A6%AC%E0%A6%BF%E0%A6%B6%E0%A7%87%E0%A6%B7:%E0%A6%B8%E0%A6%A6%E0%A6%B8%E0%A7%8D%E0%A6%AF%E0%A7%B0_%E0%A6%AA%E0%A7%8D%E0%A7%B0%E0%A7%B1%E0%A7%87%E0%A6%B6&returnto=%E0%A6%98%E0%A6%BE%E0%A6%A4%E0%A6%BE%E0%A6%82%E0%A6%95" title="বাধ্যতামূলক নহ'লেও প্ৰৱেশ কৰাটো বাঞ্চনীয় [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>প্ৰৱেশ</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> লগ-আউট কৰা সদস্যৰ বাবে পৃষ্ঠাসমূহ <a href="/wiki/%E0%A6%B8%E0%A6%B9%E0%A6%BE%E0%A6%AF%E0%A6%BC:%E0%A6%AA%E0%A7%B0%E0%A6%BF%E0%A6%9A%E0%A6%AF%E0%A6%BC" aria-label="সম্পাদনাৰ বিষয়ে অধিক জানক"><span>অধিক শিকক</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/%E0%A6%AC%E0%A6%BF%E0%A6%B6%E0%A7%87%E0%A6%B7:%E0%A6%AE%E0%A7%8B%E0%A7%B0_%E0%A6%AC%E0%A7%B0%E0%A6%99%E0%A6%A8%E0%A6%BF" title="A list of edits made from this IP address [y]" accesskey="y"><span>বৰঙণি</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%E0%A6%AC%E0%A6%BF%E0%A6%B6%E0%A7%87%E0%A6%B7:%E0%A6%AE%E0%A7%8B%E0%A7%B0_%E0%A6%95%E0%A6%A5%E0%A7%8B%E0%A6%AA%E0%A6%95%E0%A6%A5%E0%A6%A8" title="এই আই.পি. ঠিকনাৰ পৰা কৰা সম্পাদনাসমূহৰ আলোচনা [n]" accesskey="n"><span>এই IPটোৰে যোগাযোগ কৰক</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"><div id="mw-dismissablenotice-anonplace"></div><script>(function(){var node=document.getElementById("mw-dismissablenotice-anonplace");if(node){node.outerHTML="\u003Cdiv class=\"mw-dismissable-notice\"\u003E\u003Cdiv 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class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="সূচী" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">সূচী</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">পাৰ্শ্বদণ্ডলৈ যাওক</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">লুকুৱাওক</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">পাতনি</div> </a> </li> <li id="toc-ইতিহাস" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#ইতিহাস"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>ইতিহাস</span> </div> </a> <ul id="toc-ইতিহাস-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-বিৱৰণ" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#বিৱৰণ"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>বিৱৰণ</span> </div> </a> <ul id="toc-বিৱৰণ-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-ঘাতাংকৰ_সূত্ৰ" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#ঘাতাংকৰ_সূত্ৰ"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>ঘাতাংকৰ সূত্ৰ</span> </div> </a> <ul id="toc-ঘাতাংকৰ_সূত্ৰ-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-তথ্যসূত্ৰ" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#তথ্যসূত্ৰ"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>তথ্যসূত্ৰ</span> </div> </a> <ul id="toc-তথ্যসূত্ৰ-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="সূচী" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="সূচীপত্ৰ টগ'ল কৰক" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">সূচীপত্ৰ টগ'ল কৰক</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">ঘাতাংক</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="অন্য এটা ভাষাৰ প্ৰবন্ধলৈ যাওক। 109টা ভাষাত উপলব্ধ।" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-109" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">109টা ভাষা</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Logaritme" title="Logaritme – আফ্ৰিকানছ্" lang="af" hreflang="af" data-title="Logaritme" data-language-autonym="Afrikaans" data-language-local-name="আফ্ৰিকানছ্" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Logarithmus" title="Logarithmus – ছুইচ জাৰ্মান" lang="gsw" hreflang="gsw" data-title="Logarithmus" data-language-autonym="Alemannisch" data-language-local-name="ছুইচ জাৰ্মান" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%88%8E%E1%8C%8B%E1%88%AA%E1%8B%9D%E1%88%9D" title="ሎጋሪዝም – আমহাৰিক" lang="am" hreflang="am" data-title="ሎጋሪዝም" data-language-autonym="አማርኛ" data-language-local-name="আমহাৰিক" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Logaritmo" title="Logaritmo – আৰ্গোনিজ" lang="an" hreflang="an" data-title="Logaritmo" data-language-autonym="Aragonés" data-language-local-name="আৰ্গোনিজ" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%84%D9%88%D8%BA%D8%A7%D8%B1%D9%8A%D8%AA%D9%85" title="لوغاريتم – আৰবী" lang="ar" hreflang="ar" data-title="لوغاريتم" data-language-autonym="العربية" data-language-local-name="আৰবী" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ary mw-list-item"><a href="https://ary.wikipedia.org/wiki/%D9%84%D9%88%DA%AD%D8%A7%D8%B1%D9%8A%D8%AA%D9%85" title="لوڭاريتم – Moroccan Arabic" lang="ary" hreflang="ary" data-title="لوڭاريتم" data-language-autonym="الدارجة" data-language-local-name="Moroccan Arabic" class="interlanguage-link-target"><span>الدارجة</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Logaritmu" title="Logaritmu – এষ্টুৰীয়" lang="ast" hreflang="ast" data-title="Logaritmu" data-language-autonym="Asturianu" data-language-local-name="এষ্টুৰীয়" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Loqarifm" title="Loqarifm – আজেৰবাইজানী" lang="az" hreflang="az" data-title="Loqarifm" data-language-autonym="Azərbaycanca" data-language-local-name="আজেৰবাইজানী" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B0%D1%80%D0%B8%D1%84%D0%BC" title="Логарифм – বাছখিৰ" lang="ba" hreflang="ba" data-title="Логарифм" data-language-autonym="Башҡортса" data-language-local-name="বাছখিৰ" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bat-smg mw-list-item"><a href="https://bat-smg.wikipedia.org/wiki/Luogar%C4%97tmos" title="Luogarėtmos – Samogitian" lang="sgs" hreflang="sgs" data-title="Luogarėtmos" data-language-autonym="Žemaitėška" data-language-local-name="Samogitian" class="interlanguage-link-target"><span>Žemaitėška</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Logaritmo" title="Logaritmo – Central Bikol" lang="bcl" hreflang="bcl" data-title="Logaritmo" data-language-autonym="Bikol Central" data-language-local-name="Central Bikol" class="interlanguage-link-target"><span>Bikol Central</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9B%D0%B0%D0%B3%D0%B0%D1%80%D1%8B%D1%84%D0%BC" title="Лагарыфм – বেলাৰুছীয়" lang="be" hreflang="be" data-title="Лагарыфм" data-language-autonym="Беларуская" data-language-local-name="বেলাৰুছীয়" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%9B%D1%8F%D0%B3%D0%B0%D1%80%D1%8B%D1%82%D0%BC" title="Лягарытм – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Лягарытм" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B0%D1%80%D0%B8%D1%82%D1%8A%D0%BC" title="Логаритъм – বুলগেৰীয়" lang="bg" hreflang="bg" data-title="Логаритъм" data-language-autonym="Български" data-language-local-name="বুলগেৰীয়" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bjn mw-list-item"><a href="https://bjn.wikipedia.org/wiki/Logaritma" title="Logaritma – Banjar" lang="bjn" hreflang="bjn" data-title="Logaritma" data-language-autonym="Banjar" data-language-local-name="Banjar" class="interlanguage-link-target"><span>Banjar</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%B2%E0%A6%97%E0%A6%BE%E0%A6%B0%E0%A6%BF%E0%A6%A6%E0%A6%AE" title="লগারিদম – বাংলা" lang="bn" hreflang="bn" data-title="লগারিদম" data-language-autonym="বাংলা" data-language-local-name="বাংলা" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Logaritm" title="Logaritm – ব্ৰেটন" lang="br" hreflang="br" data-title="Logaritm" data-language-autonym="Brezhoneg" data-language-local-name="ব্ৰেটন" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Logaritam" title="Logaritam – বছনীয়" lang="bs" hreflang="bs" data-title="Logaritam" data-language-autonym="Bosanski" data-language-local-name="বছনীয়" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-bxr mw-list-item"><a href="https://bxr.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B0%D1%80%D0%B8%D1%84%D0%BC" title="Логарифм – Russia Buriat" lang="bxr" hreflang="bxr" data-title="Логарифм" data-language-autonym="Буряад" data-language-local-name="Russia Buriat" class="interlanguage-link-target"><span>Буряад</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Logaritme" title="Logaritme – কাতালান" lang="ca" hreflang="ca" data-title="Logaritme" data-language-autonym="Català" data-language-local-name="কাতালান" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%84%DB%86%DA%AF%D8%A7%D8%B1%DB%8C%D8%AA%D9%85" title="لۆگاریتم – চেণ্ট্ৰেল কুৰ্ডিচ" lang="ckb" hreflang="ckb" data-title="لۆگاریتم" data-language-autonym="کوردی" data-language-local-name="চেণ্ট্ৰেল কুৰ্ডিচ" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Logaritmus" title="Logaritmus – চেক" lang="cs" hreflang="cs" data-title="Logaritmus" data-language-autonym="Čeština" data-language-local-name="চেক" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B0%D1%80%D0%B8%D1%84%D0%BC" title="Логарифм – চুভাচ" lang="cv" hreflang="cv" data-title="Логарифм" data-language-autonym="Чӑвашла" data-language-local-name="চুভাচ" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Logarithm" title="Logarithm – ৱেলচ" lang="cy" hreflang="cy" data-title="Logarithm" data-language-autonym="Cymraeg" data-language-local-name="ৱেলচ" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Logaritme" title="Logaritme – ডেনিচ" lang="da" hreflang="da" data-title="Logaritme" data-language-autonym="Dansk" data-language-local-name="ডেনিচ" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Logarithmus" title="Logarithmus – জাৰ্মান" lang="de" hreflang="de" data-title="Logarithmus" data-language-autonym="Deutsch" data-language-local-name="জাৰ্মান" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-diq mw-list-item"><a href="https://diq.wikipedia.org/wiki/Logaritma" title="Logaritma – Zazaki" lang="diq" hreflang="diq" data-title="Logaritma" data-language-autonym="Zazaki" data-language-local-name="Zazaki" class="interlanguage-link-target"><span>Zazaki</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9B%CE%BF%CE%B3%CE%AC%CF%81%CE%B9%CE%B8%CE%BC%CE%BF%CF%82" title="Λογάριθμος – গ্ৰীক" lang="el" hreflang="el" data-title="Λογάριθμος" data-language-autonym="Ελληνικά" data-language-local-name="গ্ৰীক" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-eml mw-list-item"><a href="https://eml.wikipedia.org/wiki/Logar%C3%ACtem" title="Logarìtem – Emiliano-Romagnolo" lang="egl" hreflang="egl" data-title="Logarìtem" data-language-autonym="Emiliàn e rumagnòl" data-language-local-name="Emiliano-Romagnolo" class="interlanguage-link-target"><span>Emiliàn e rumagnòl</span></a></li><li class="interlanguage-link interwiki-en badge-Q17437796 badge-featuredarticle mw-list-item" title="নিৰ্বাচিত প্ৰবন্ধসমূহ"><a href="https://en.wikipedia.org/wiki/Logarithm" title="Logarithm – ইংৰাজী" lang="en" hreflang="en" data-title="Logarithm" data-language-autonym="English" data-language-local-name="ইংৰাজী" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Logaritmo" title="Logaritmo – এস্পেৰান্তো" lang="eo" hreflang="eo" data-title="Logaritmo" data-language-autonym="Esperanto" data-language-local-name="এস্পেৰান্তো" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Logaritmo" title="Logaritmo – স্পেনিচ" lang="es" hreflang="es" data-title="Logaritmo" data-language-autonym="Español" data-language-local-name="স্পেনিচ" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Logaritm" title="Logaritm – এষ্টোনিয়" lang="et" hreflang="et" data-title="Logaritm" data-language-autonym="Eesti" data-language-local-name="এষ্টোনিয়" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Logaritmo" title="Logaritmo – বাস্ক" lang="eu" hreflang="eu" data-title="Logaritmo" data-language-autonym="Euskara" data-language-local-name="বাস্ক" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-ext mw-list-item"><a href="https://ext.wikipedia.org/wiki/Logaritmu" title="Logaritmu – Extremaduran" lang="ext" hreflang="ext" data-title="Logaritmu" data-language-autonym="Estremeñu" data-language-local-name="Extremaduran" class="interlanguage-link-target"><span>Estremeñu</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%84%DA%AF%D8%A7%D8%B1%DB%8C%D8%AA%D9%85" title="لگاریتم – ফাৰ্ছী" lang="fa" hreflang="fa" data-title="لگاریتم" data-language-autonym="فارسی" data-language-local-name="ফাৰ্ছী" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Logaritmi" title="Logaritmi – ফিনিচ" lang="fi" hreflang="fi" data-title="Logaritmi" data-language-autonym="Suomi" data-language-local-name="ফিনিচ" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fo mw-list-item"><a href="https://fo.wikipedia.org/wiki/Logaritma" title="Logaritma – ফাৰোইজ" lang="fo" hreflang="fo" data-title="Logaritma" data-language-autonym="Føroyskt" data-language-local-name="ফাৰোইজ" class="interlanguage-link-target"><span>Føroyskt</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Logarithme" title="Logarithme – ফ্ৰেন্স" lang="fr" hreflang="fr" data-title="Logarithme" data-language-autonym="Français" data-language-local-name="ফ্ৰেন্স" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Logartam" title="Logartam – আইৰিচ" lang="ga" hreflang="ga" data-title="Logartam" data-language-autonym="Gaeilge" data-language-local-name="আইৰিচ" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E5%B0%8D%E6%95%B8" title="對數 – Gan" lang="gan" hreflang="gan" data-title="對數" data-language-autonym="贛語" data-language-local-name="Gan" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/Logaritm" title="Logaritm – Guianan Creole" lang="gcr" hreflang="gcr" data-title="Logaritm" data-language-autonym="Kriyòl gwiyannen" data-language-local-name="Guianan Creole" class="interlanguage-link-target"><span>Kriyòl gwiyannen</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Logaritmo" title="Logaritmo – গেলিচিয়ান" lang="gl" hreflang="gl" data-title="Logaritmo" data-language-autonym="Galego" data-language-local-name="গেলিচিয়ান" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9C%D7%95%D7%92%D7%A8%D7%99%D7%AA%D7%9D" title="לוגריתם – হিব্ৰু" lang="he" hreflang="he" data-title="לוגריתם" data-language-autonym="עברית" data-language-local-name="হিব্ৰু" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B2%E0%A4%98%E0%A5%81%E0%A4%97%E0%A4%A3%E0%A4%95" title="लघुगणक – হিন্দী" lang="hi" hreflang="hi" data-title="लघुगणक" data-language-autonym="हिन्दी" data-language-local-name="হিন্দী" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hif mw-list-item"><a href="https://hif.wikipedia.org/wiki/Logarithm" title="Logarithm – Fiji Hindi" lang="hif" hreflang="hif" data-title="Logarithm" data-language-autonym="Fiji Hindi" data-language-local-name="Fiji Hindi" class="interlanguage-link-target"><span>Fiji Hindi</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Logaritam" title="Logaritam – ক্ৰোৱেচিয়ান" lang="hr" hreflang="hr" data-title="Logaritam" data-language-autonym="Hrvatski" data-language-local-name="ক্ৰোৱেচিয়ান" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu badge-Q17437796 badge-featuredarticle mw-list-item" title="নিৰ্বাচিত প্ৰবন্ধসমূহ"><a href="https://hu.wikipedia.org/wiki/Logaritmus" title="Logaritmus – হাঙ্গেৰিয়ান" lang="hu" hreflang="hu" data-title="Logaritmus" data-language-autonym="Magyar" data-language-local-name="হাঙ্গেৰিয়ান" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%BC%D5%B8%D5%A3%D5%A1%D6%80%D5%AB%D5%A9%D5%B4" title="Լոգարիթմ – আৰ্মেনীয়" lang="hy" hreflang="hy" data-title="Լոգարիթմ" data-language-autonym="Հայերեն" data-language-local-name="আৰ্মেনীয়" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Logarithmo" title="Logarithmo – ইণ্টাৰলিংগুৱা" lang="ia" hreflang="ia" data-title="Logarithmo" data-language-autonym="Interlingua" data-language-local-name="ইণ্টাৰলিংগুৱা" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Logaritma" title="Logaritma – ইণ্ডোনেচিয়" lang="id" hreflang="id" data-title="Logaritma" data-language-autonym="Bahasa Indonesia" data-language-local-name="ইণ্ডোনেচিয়" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Logaritmo" title="Logaritmo – ইডো" lang="io" hreflang="io" data-title="Logaritmo" data-language-autonym="Ido" data-language-local-name="ইডো" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Logri" title="Logri – আইচলেণ্ডিক" lang="is" hreflang="is" data-title="Logri" data-language-autonym="Íslenska" data-language-local-name="আইচলেণ্ডিক" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Logaritmo" title="Logaritmo – ইটালিয়ান" lang="it" hreflang="it" data-title="Logaritmo" data-language-autonym="Italiano" data-language-local-name="ইটালিয়ান" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E5%AF%BE%E6%95%B0" title="対数 – জাপানী" lang="ja" hreflang="ja" data-title="対数" data-language-autonym="日本語" data-language-local-name="জাপানী" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Lagaridim" title="Lagaridim – Jamaican Creole English" lang="jam" hreflang="jam" data-title="Lagaridim" data-language-autonym="Patois" data-language-local-name="Jamaican Creole English" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%9A%E1%83%9D%E1%83%92%E1%83%90%E1%83%A0%E1%83%98%E1%83%97%E1%83%9B%E1%83%98" title="ლოგარითმი – জৰ্জিয়ান" lang="ka" hreflang="ka" data-title="ლოგარითმი" data-language-autonym="ქართული" data-language-local-name="জৰ্জিয়ান" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B0%D1%80%D0%B8%D1%84%D0%BC" title="Логарифм – কাজাখ" lang="kk" hreflang="kk" data-title="Логарифм" data-language-autonym="Қазақша" data-language-local-name="কাজাখ" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%A1%9C%EA%B7%B8_(%EC%88%98%ED%95%99)" title="로그 (수학) – কোৰিয়ান" lang="ko" hreflang="ko" data-title="로그 (수학)" data-language-autonym="한국어" data-language-local-name="কোৰিয়ান" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Logarithmus" title="Logarithmus – লেটিন" lang="la" hreflang="la" data-title="Logarithmus" data-language-autonym="Latina" data-language-local-name="লেটিন" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lfn mw-list-item"><a href="https://lfn.wikipedia.org/wiki/Logaritmo" title="Logaritmo – Lingua Franca Nova" lang="lfn" hreflang="lfn" data-title="Logaritmo" data-language-autonym="Lingua Franca Nova" data-language-local-name="Lingua Franca Nova" class="interlanguage-link-target"><span>Lingua Franca Nova</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Logaritm" title="Logaritm – ল’ম্বাৰ্ড" lang="lmo" hreflang="lmo" data-title="Logaritm" data-language-autonym="Lombard" data-language-local-name="ল’ম্বাৰ্ড" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Logaritmas" title="Logaritmas – লিথুৱানিয়ান" lang="lt" hreflang="lt" data-title="Logaritmas" data-language-autonym="Lietuvių" data-language-local-name="লিথুৱানিয়ান" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Logaritms" title="Logaritms – লাটভিয়ান" lang="lv" hreflang="lv" data-title="Logaritms" data-language-autonym="Latviešu" data-language-local-name="লাটভিয়ান" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Anisa" title="Anisa – মালাগাছী" lang="mg" hreflang="mg" data-title="Anisa" data-language-autonym="Malagasy" data-language-local-name="মালাগাছী" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-mk badge-Q17437796 badge-featuredarticle mw-list-item" title="নিৰ্বাচিত প্ৰবন্ধসমূহ"><a href="https://mk.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B0%D1%80%D0%B8%D1%82%D0%B0%D0%BC" title="Логаритам – মেচিডোনীয়" lang="mk" hreflang="mk" data-title="Логаритам" data-language-autonym="Македонски" data-language-local-name="মেচিডোনীয়" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%B2%E0%B5%8B%E0%B4%97%E0%B4%B0%E0%B4%BF%E0%B4%A4%E0%B4%82" title="ലോഗരിതം – মালায়ালম" lang="ml" hreflang="ml" data-title="ലോഗരിതം" data-language-autonym="മലയാളം" data-language-local-name="মালায়ালম" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%B2%E0%A5%89%E0%A4%97%E0%A5%85%E0%A4%B0%E0%A4%BF%E0%A4%A6%E0%A4%AE" title="लॉगॅरिदम – মাৰাঠী" lang="mr" hreflang="mr" data-title="लॉगॅरिदम" data-language-autonym="मराठी" data-language-local-name="মাৰাঠী" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Logaritma" title="Logaritma – মালয়" lang="ms" hreflang="ms" data-title="Logaritma" data-language-autonym="Bahasa Melayu" data-language-local-name="মালয়" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%9C%E1%80%B1%E1%80%AC%E1%80%B7%E1%80%82%E1%80%9B%E1%80%85%E1%80%BA%E1%80%9E%E1%80%99%E1%80%BA" title="လော့ဂရစ်သမ် – বাৰ্মীজ" lang="my" hreflang="my" data-title="လော့ဂရစ်သမ်" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="বাৰ্মীজ" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Logarithmus" title="Logarithmus – ল’ জাৰ্মান" lang="nds" hreflang="nds" data-title="Logarithmus" data-language-autonym="Plattdüütsch" data-language-local-name="ল’ জাৰ্মান" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Logaritme" title="Logaritme – ডাচ" lang="nl" hreflang="nl" data-title="Logaritme" data-language-autonym="Nederlands" data-language-local-name="ডাচ" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Logaritme" title="Logaritme – নৰৱেজিয়ান নায়নোৰ্স্ক" lang="nn" hreflang="nn" data-title="Logaritme" data-language-autonym="Norsk nynorsk" data-language-local-name="নৰৱেজিয়ান নায়নোৰ্স্ক" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Logaritme" title="Logaritme – নৰৱেজিয়ান বোকমাল" lang="nb" hreflang="nb" data-title="Logaritme" data-language-autonym="Norsk bokmål" data-language-local-name="নৰৱেজিয়ান বোকমাল" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Logaritme" title="Logaritme – অ’চিটান" lang="oc" hreflang="oc" data-title="Logaritme" data-language-autonym="Occitan" data-language-local-name="অ’চিটান" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Loogarizimii" title="Loogarizimii – ওৰোমো" lang="om" hreflang="om" data-title="Loogarizimii" data-language-autonym="Oromoo" data-language-local-name="ওৰোমো" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%B2%E0%A8%98%E0%A9%82%E0%A8%97%E0%A8%A3%E0%A8%95" title="ਲਘੂਗਣਕ – পাঞ্জাবী" lang="pa" hreflang="pa" data-title="ਲਘੂਗਣਕ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="পাঞ্জাবী" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Logarytm" title="Logarytm – প’লিচ" lang="pl" hreflang="pl" data-title="Logarytm" data-language-autonym="Polski" data-language-local-name="প’লিচ" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D9%84%D8%A7%DA%AF%D8%B1%D8%AA%DA%BE%D9%85" title="لاگرتھم – Western Punjabi" lang="pnb" hreflang="pnb" data-title="لاگرتھم" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-pt badge-Q17437796 badge-featuredarticle mw-list-item" title="নিৰ্বাচিত প্ৰবন্ধসমূহ"><a href="https://pt.wikipedia.org/wiki/Logaritmo" title="Logaritmo – পৰ্তুগীজ" lang="pt" hreflang="pt" data-title="Logaritmo" data-language-autonym="Português" data-language-local-name="পৰ্তুগীজ" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Logaritm" title="Logaritm – ৰোমানীয়" lang="ro" hreflang="ro" data-title="Logaritm" data-language-autonym="Română" data-language-local-name="ৰোমানীয়" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru badge-Q17437796 badge-featuredarticle mw-list-item" title="নিৰ্বাচিত প্ৰবন্ধসমূহ"><a href="https://ru.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B0%D1%80%D0%B8%D1%84%D0%BC" title="Логарифм – ৰাছিয়ান" lang="ru" hreflang="ru" data-title="Логарифм" data-language-autonym="Русский" data-language-local-name="ৰাছিয়ান" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sah mw-list-item"><a href="https://sah.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B0%D1%80%D0%B8%D1%84%D0%BC" title="Логарифм – ছাখা" lang="sah" hreflang="sah" data-title="Логарифм" data-language-autonym="Саха тыла" data-language-local-name="ছাখা" class="interlanguage-link-target"><span>Саха тыла</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Logaritmu" title="Logaritmu – ছিচিলিয়ান" lang="scn" hreflang="scn" data-title="Logaritmu" data-language-autonym="Sicilianu" data-language-local-name="ছিচিলিয়ান" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sh badge-Q70893996 mw-list-item" title=""><a href="https://sh.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B0%D1%80%D0%B8%D1%82%D0%B0%D0%BC" title="Логаритам – Serbo-Croatian" lang="sh" hreflang="sh" data-title="Логаритам" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Croatian" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%BD%E0%B6%9D%E0%B7%94_%E0%B6%9C%E0%B6%AB%E0%B6%9A" title="ලඝු ගණක – সিংহলা" lang="si" hreflang="si" data-title="ලඝු ගණක" data-language-autonym="සිංහල" data-language-local-name="সিংহলা" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Logarithm" title="Logarithm – Simple English" lang="en-simple" hreflang="en-simple" data-title="Logarithm" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Logaritmus" title="Logaritmus – শ্লোভাক" lang="sk" hreflang="sk" data-title="Logaritmus" data-language-autonym="Slovenčina" data-language-local-name="শ্লোভাক" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Logaritem" title="Logaritem – শ্লোভেনিয়ান" lang="sl" hreflang="sl" data-title="Logaritem" data-language-autonym="Slovenščina" data-language-local-name="শ্লোভেনিয়ান" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Daraunene" title="Daraunene – চোনা" lang="sn" hreflang="sn" data-title="Daraunene" data-language-autonym="ChiShona" data-language-local-name="চোনা" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Logaritmet" title="Logaritmet – আলবেনীয়" lang="sq" hreflang="sq" data-title="Logaritmet" data-language-autonym="Shqip" data-language-local-name="আলবেনীয়" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B0%D1%80%D0%B8%D1%82%D0%B0%D0%BC" title="Логаритам – ছাৰ্বিয়ান" lang="sr" hreflang="sr" data-title="Логаритам" data-language-autonym="Српски / srpski" data-language-local-name="ছাৰ্বিয়ান" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Logaritm" title="Logaritm – ছুইডিচ" lang="sv" hreflang="sv" data-title="Logaritm" data-language-autonym="Svenska" data-language-local-name="ছুইডিচ" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Logi" title="Logi – স্বাহিলি" lang="sw" hreflang="sw" data-title="Logi" data-language-autonym="Kiswahili" data-language-local-name="স্বাহিলি" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AE%E0%AE%9F%E0%AE%95%E0%AF%8D%E0%AE%95%E0%AF%88" title="மடக்கை – তামিল" lang="ta" hreflang="ta" data-title="மடக்கை" data-language-autonym="தமிழ்" data-language-local-name="তামিল" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%A5%E0%B8%AD%E0%B8%81%E0%B8%B2%E0%B8%A3%E0%B8%B4%E0%B8%97%E0%B8%B6%E0%B8%A1" title="ลอการิทึม – থাই" lang="th" hreflang="th" data-title="ลอการิทึม" data-language-autonym="ไทย" data-language-local-name="থাই" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Logaritmo" title="Logaritmo – Tagalog" lang="tl" hreflang="tl" data-title="Logaritmo" data-language-autonym="Tagalog" data-language-local-name="Tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Logaritma" title="Logaritma – তুৰ্কী" lang="tr" hreflang="tr" data-title="Logaritma" data-language-autonym="Türkçe" data-language-local-name="তুৰ্কী" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B0%D1%80%D0%B8%D1%84%D0%BC" title="Логарифм – তাতাৰ" lang="tt" hreflang="tt" data-title="Логарифм" data-language-autonym="Татарча / tatarça" data-language-local-name="তাতাৰ" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9B%D0%BE%D0%B3%D0%B0%D1%80%D0%B8%D1%84%D0%BC" title="Логарифм – ইউক্ৰেইনীয়" lang="uk" hreflang="uk" data-title="Логарифм" data-language-autonym="Українська" data-language-local-name="ইউক্ৰেইনীয়" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D9%84%D8%A7%DA%AF%D8%B1%D8%AA%DA%BE%D9%85" title="لاگرتھم – উৰ্দু" lang="ur" hreflang="ur" data-title="لاگرتھم" data-language-autonym="اردو" data-language-local-name="উৰ্দু" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Logarifm" title="Logarifm – উজবেক" lang="uz" hreflang="uz" data-title="Logarifm" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="উজবেক" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi badge-Q17437796 badge-featuredarticle mw-list-item" title="নিৰ্বাচিত প্ৰবন্ধসমূহ"><a href="https://vi.wikipedia.org/wiki/Logarit" title="Logarit – ভিয়েটনামী" lang="vi" hreflang="vi" data-title="Logarit" data-language-autonym="Tiếng Việt" data-language-local-name="ভিয়েটনামী" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Logaritmo" title="Logaritmo – ৱাৰে" lang="war" hreflang="war" data-title="Logaritmo" data-language-autonym="Winaray" data-language-local-name="ৱাৰে" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E5%AF%B9%E6%95%B0" title="对数 – ৱু চাইনিজ" lang="wuu" hreflang="wuu" data-title="对数" data-language-autonym="吴语" data-language-local-name="ৱু চাইনিজ" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%9C%D7%90%D7%92%D7%90%D7%A8%D7%99%D7%98%D7%9D" title="לאגאריטם – ইদ্দিছ" lang="yi" hreflang="yi" data-title="לאגאריטם" data-language-autonym="ייִדיש" data-language-local-name="ইদ্দিছ" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%AF%B9%E6%95%B0" title="对数 – চীনা" lang="zh" hreflang="zh" data-title="对数" data-language-autonym="中文" data-language-local-name="চীনা" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/T%C3%B9i-s%C3%B2%CD%98" title="Tùi-sò͘ – Minnan" lang="nan" hreflang="nan" data-title="Tùi-sò͘" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Minnan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E5%B0%8D%E6%95%B8" title="對數 – কেণ্টোনীজ" lang="yue" hreflang="yue" data-title="對數" data-language-autonym="粵語" data-language-local-name="কেণ্টোনীজ" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q11197#sitelinks-wikipedia" title="আন্তঃৱিকি লিংক সম্পাদনা কৰক" class="wbc-editpage">আন্তঃৱিকি লিংক সম্পাদনা কৰক</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="নামস্থান"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/%E0%A6%98%E0%A6%BE%E0%A6%A4%E0%A6%BE%E0%A6%82%E0%A6%95" title="সমল পৃষ্ঠাখন চাওক [c]" accesskey="c"><span>প্ৰবন্ধ</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/%E0%A6%AC%E0%A6%BE%E0%A7%B0%E0%A7%8D%E0%A6%A4%E0%A6%BE:%E0%A6%98%E0%A6%BE%E0%A6%A4%E0%A6%BE%E0%A6%82%E0%A6%95" rel="discussion" title="সংশ্লিষ্ট প্ৰবন্ধ সম্পৰ্কীয় আলোচনা [t]" accesskey="t"><span>আলোচনা</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown 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ৱিকিপিডিয়াৰ পৰা</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="as" dir="ltr"><figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%E0%A6%9A%E0%A6%BF%E0%A6%A4%E0%A7%8D%E0%A7%B0:Binary_logarithm_plot_with_ticks.svg" class="mw-file-description"><img alt="Graph showing a logarithm curves, which crosses the x-axis where x is 1 and extend towards minus infinity along the y-axis." src="//upload.wikimedia.org/wikipedia/commons/thumb/1/17/Binary_logarithm_plot_with_ticks.svg/300px-Binary_logarithm_plot_with_ticks.svg.png" decoding="async" width="300" height="239" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/17/Binary_logarithm_plot_with_ticks.svg/450px-Binary_logarithm_plot_with_ticks.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/17/Binary_logarithm_plot_with_ticks.svg/600px-Binary_logarithm_plot_with_ticks.svg.png 2x" data-file-width="408" data-file-height="325" /></a><figcaption>২ভিত্তিক ঘাতাংকৰ লেখচিত্ৰই x অক্ষৰ(অনুভূমিক অক্ষ) ১ বিন্দুত ছেদ কৰি <span class="nowrap">(২, ১)</span>, <span class="nowrap">(৪, ২)</span>, আৰু <span class="nowrap">(৮, ৩)</span> বিন্দুয়েদি অতিক্ৰম কৰে। উদাহৰণস্বৰূপ, <span class="nowrap">log<sub>2</sub>(8) = 3</span>, কাৰণ <span class="nowrap">2<sup>3</sup> = 8.</span> ৰেখাটি ক্ৰমশ y অক্ষৰ নিকটৱৰ্তী হৈ থাকে কিন্তু কেতিয়াও yঅক্ষেৰ সৈতে মিলিত নহয় বা ছেদ নকৰে। .</figcaption></figure> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%E0%A6%9A%E0%A6%BF%E0%A6%A4%E0%A7%8D%E0%A7%B0:Logarithm_visualization_tree.svg" class="mw-file-description"><img alt="Visualization of how exponents of n can be visualized as a full n-ary tree, and how logarithm relates to exponents using this visualization." src="//upload.wikimedia.org/wikipedia/commons/thumb/6/61/Logarithm_visualization_tree.svg/220px-Logarithm_visualization_tree.svg.png" decoding="async" width="220" height="78" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/61/Logarithm_visualization_tree.svg/330px-Logarithm_visualization_tree.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/61/Logarithm_visualization_tree.svg/440px-Logarithm_visualization_tree.svg.png 2x" data-file-width="541" data-file-height="191" /></a><figcaption>এটি পূৰ্ণাঙ্গ 3-ary ট্ৰি ব্যৱহাৰ কৰি 3 ৰ সূচকসমূহ প্ৰত্যক্ষ কৰা যায় আৰু ঘাতাংকৰ সৈতে সেই সমূহ কিদৰে সম্পৰ্কিত সেয়া বুজা যায়। </figcaption></figure> <p><b>ঘাতাংক</b> (<a href="/wiki/%E0%A6%87%E0%A6%82%E0%A7%B0%E0%A6%BE%E0%A6%9C%E0%A7%80_%E0%A6%AD%E0%A6%BE%E0%A6%B7%E0%A6%BE" title="ইংৰাজী ভাষা">ইংৰাজী</a>: <span lang="en">Logarithm</span>) হৈছে গণিতৰ ক্ষেত্ৰ খনৰ সূচকৰ বিপৰীত প্ৰক্ৰিয়া। অৰ্থাৎ কোনো সংখ্যাৰ ঘাতাংক হ'ল সেই সূচক যাক এটি নিৰ্ধাৰিত মানৰ, (ভিত্তি) ঘাত হিচাপে উন্নীত কৰিলে প্ৰথমোক্ত সংখ্যাটি পোৱা যায়। সাধাৰণ ক্ষেত্ৰত ঘাতাংকই এটা সংখ্যা (ভিত্তি) কিমানবাৰ গুণ কৰা হ'ল সেয়া গণনা কৰে। উদাহৰণস্বৰূপ, ১০০০ৰ ১০ ভিত্তিক ঘাতাংক বা লগৰ মান ৩, ইয়াৰ অৰ্থ হ'ল ১০ ৰ ঘাত ৩ লৈ উন্নীত কৰিলে ১০০০ পোৱা যায় (১০০০ = ১০ × ১০ × ১০ = ১০৩)। ইয়াত ১০ সংখ্যাটি ৩ বাৰ গুণ কৰিলে ১০০০ পোৱা যায়। আকৌ সাধাৰণভাবে কোৱা হয়, কোনো ধনাত্মক প্ৰকৃত সংখ্যাক যিকোনো প্ৰকৃত ঘাতলৈ উন্নীত কৰিলে সকলোসময়তে ধনাত্মক ফল পোৱা যায়, সূত্ৰ মতে যদি কোনো দুটি ধনাত্মক প্ৰকৃত সংখ্যা b আৰু x ৰ ঘাতাংক নিৰ্ণয় কৰা যায় য'ত b সংখ্যাটি ১ৰ সমান নহয়। xৰ b ভিত্তিক ঘাতাংক প্ৰকাশ এনেকৈ কৰা হয়- logb(x), আৰু ইয়াৰ মান এটা অন্য প্ৰকৃত সংখ্যা yৰ ক্ষেত্ৰত- </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle b^{y}=x.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>y</mi> </mrow> </msup> <mo>=</mo> <mi>x</mi> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle b^{y}=x.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/32d862a261be92079096455ce1af882eb1c15f99" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:7.122ex; height:2.343ex;" alt="{\displaystyle b^{y}=x.}"></span><sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup></dd></dl> <p>উদাহৰণস্বৰূপ, যিহেতু ৬৪ = ২<sup>৬</sup>, তেতিয়া আমি পাম- log২(৬৪) = ৬, ১০ ভিত্তিক ঘাতাংক (অৰ্থাৎ b = ১০)ক কোৱা হয় সাধাৰণ ঘাতাংক, বিজ্ঞান আৰু প্ৰকৌশল বিদ্যাত ইয়াৰ বহুল ব্যৱহাৰ হয়। প্ৰাকৃতিক ঘাতাংকৰ ভিত্তি হ'ল এটা গাণিতিক ধ্ৰৱক E (≈ ২.৭১৮); গণিত আৰু পদাৰ্থবিদ্যাত ইয়াৰ বিস্তৃত ব্যৱহাৰ হৈছে। দ্বিমিক ঘাতাংকৰ ভিত্তি হিচাপে ব্যৱহৃত হয় ২ (অৰ্থাৎ b = ২) আৰু ইয়াক সাধাৰণভাবে কম্পিউটাৰ বিজ্ঞানটো ব্যৱহাৰ কৰা হয়। </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="ইতিহাস"><span id=".E0.A6.87.E0.A6.A4.E0.A6.BF.E0.A6.B9.E0.A6.BE.E0.A6.B8"></span>ইতিহাস</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%A6%98%E0%A6%BE%E0%A6%A4%E0%A6%BE%E0%A6%82%E0%A6%95&action=edit&section=1" title="শাখা সম্পাদনা: ইতিহাস"><span>সম্পাদনা কৰক</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>গণনা সহজ কৰাৰ বাবে সপ্তদশ শতাব্দীৰ আৰম্ভণিতে জন নেপিয়াৰে ঘাতাংকৰ সূচনা কৰিছিল।<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> স্লাইড ৰুল আৰু লগ সাৰণি ব্যৱহাৰ কৰি সহজে গণনাৰ বাবে নাবিক, বৈজ্ঞানিক, প্ৰকৌশলী আদি ব্যক্তিত্বই দ্ৰুত ভাৱে এই সমূহ গ্ৰহণ কৰে। </p> <div class="mw-heading mw-heading2"><h2 id="বিৱৰণ"><span id=".E0.A6.AC.E0.A6.BF.E0.A7.B1.E0.A7.B0.E0.A6.A3"></span>বিৱৰণ</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%A6%98%E0%A6%BE%E0%A6%A4%E0%A6%BE%E0%A6%82%E0%A6%95&action=edit&section=2" title="শাখা সম্পাদনা: বিৱৰণ"><span>সম্পাদনা কৰক</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>বিৰক্তিকৰ বহুসাংখ্যিক পূৰণৰ ধাপসমূহ ঘাতাংকৰ নিয়মত এটা সৰল যোগত পৰিণত হয়। ঘাতাংকৰ নিয়মানুযায়ী সংখ্যাসমূহৰ গুণফলৰ ঘাতাংক মান সংখ্যাসমূহৰ একক ঘাতাংকৰ মানৰ যোগফল। অৰ্থাৎ </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \log _{b}(xy)=\log _{b}(x)+\log _{b}(y),\,}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>x</mi> <mi>y</mi> <mo stretchy="false">)</mo> <mo>=</mo> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>x</mi> <mo stretchy="false">)</mo> <mo>+</mo> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>y</mi> <mo stretchy="false">)</mo> <mo>,</mo> <mspace width="thinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \log _{b}(xy)=\log _{b}(x)+\log _{b}(y),\,}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cdd4d4589711179f7c3c343857466028d67ff7cf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:29.099ex; height:2.843ex;" alt="{\displaystyle \log _{b}(xy)=\log _{b}(x)+\log _{b}(y),\,}"></span></dd></dl> <p>ইয়াত <span class="texhtml"><i>b</i></span>, <span class="texhtml"><i>x</i></span> আৰু <span class="texhtml"><i>y</i></span> সকলো ধনাত্মক আৰু b ≠ 1. বৰ্তমানৰ ঘাতাংকৰ ধাৰণাটি আহিছে লিঅ'নাৰ্ড আইলাৰৰ পৰা যি অষ্টাদশ শতাব্দীত ঘাতাংক সূচক আপেক্ষকৰ সূচক ফাংচনৰ সৈতে সম্পৰ্কযুক্ত কৰিছিল। যিকোন জটিল সংখ্যাক A.eiø, A≥0, আকাৰে প্ৰকাশ কৰা যায়। এই ধাৰণাৰ পৰাই ঋণাত্মক সংখ্যা আৰু জটিল সংখ্যাৰ ঘাতাংকক সংজ্ঞায়িত কৰা যায়। যদি z এটি জটিল সংখ্যা আৰু ইয়াৰ মডুলাচ্ |z|, আৰ্গুমেণ্ট ø হয় তেন্তে ln(z)=ln|z| +iø, ইয়াত এটা জটিল সংখ্যাৰ অসংখ্য আৰ্গুমেণ্ট থাকে। কোৱা হয় যে কোনো সংখ্যাৰ ঘাতাংকৰ অসংখ্য মান থাকিবা পাৰে। সেয়ে হ'লেও ইয়াত মুখ্য মান কেৱল এটাই, যেনে, z যদি ধনাত্মক সংখ্যা হয়, তেন্তে |z|=z, মুখ্য আৰ্গুমেণ্ট ø=0, সেয়ে ইয়াত স্বাভাৱিক ঘাতাংকৰ মুখ্য মান ln(z). </p> <div class="mw-heading mw-heading2"><h2 id="ঘাতাংকৰ_সূত্ৰ"><span id=".E0.A6.98.E0.A6.BE.E0.A6.A4.E0.A6.BE.E0.A6.82.E0.A6.95.E0.A7.B0_.E0.A6.B8.E0.A7.82.E0.A6.A4.E0.A7.8D.E0.A7.B0"></span>ঘাতাংকৰ সূত্ৰ</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%A6%98%E0%A6%BE%E0%A6%A4%E0%A6%BE%E0%A6%82%E0%A6%95&action=edit&section=3" title="শাখা সম্পাদনা: ঘাতাংকৰ সূত্ৰ"><span>সম্পাদনা কৰক</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable" style="margin: 0 auto;"> <tbody><tr> <th></th> <th>সূত্ৰ</th> <th>উদাহৰণ </th></tr> <tr> <td>পূৰণ</td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \log _{b}(xy)=\log _{b}x+\log _{b}y}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> <mo>⁡</mo> <mo stretchy="false">(</mo> <mi>x</mi> <mi>y</mi> <mo stretchy="false">)</mo> <mo>=</mo> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> <mo>⁡</mo> <mi>x</mi> <mo>+</mo> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> <mo>⁡</mo> <mi>y</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \log _{b}(xy)=\log _{b}x+\log _{b}y}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/69f743e19005ed2b99e7ca6f9f2d7108b79a766b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:25.221ex; height:2.843ex;" alt="{\displaystyle \log _{b}(xy)=\log _{b}x+\log _{b}y}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \log _{3}243=\log _{3}(9\cdot 27)=\log _{3}9+\log _{3}27=2+3=5}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msub> <mo>⁡</mo> <mn>243</mn> <mo>=</mo> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msub> <mo>⁡</mo> <mo stretchy="false">(</mo> <mn>9</mn> <mo>⋅</mo> <mn>27</mn> <mo stretchy="false">)</mo> <mo>=</mo> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msub> <mo>⁡</mo> <mn>9</mn> <mo>+</mo> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>3</mn> </mrow> </msub> <mo>⁡</mo> <mn>27</mn> <mo>=</mo> <mn>2</mn> <mo>+</mo> <mn>3</mn> <mo>=</mo> <mn>5</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \log _{3}243=\log _{3}(9\cdot 27)=\log _{3}9+\log _{3}27=2+3=5}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/66bcb49fc8a2f0d6352b113bfdb2249a00effbfb" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:52.778ex; height:2.843ex;" alt="{\displaystyle \log _{3}243=\log _{3}(9\cdot 27)=\log _{3}9+\log _{3}27=2+3=5}"></span> </td></tr> <tr> <td>ভাগফল</td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \log _{b}\!{\frac {x}{y}}=\log _{b}x-\log _{b}y}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> <mspace width="negativethinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi>x</mi> <mi>y</mi> </mfrac> </mrow> <mo>=</mo> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> <mo>⁡</mo> <mi>x</mi> <mo>−</mo> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> <mo>⁡</mo> <mi>y</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \log _{b}\!{\frac {x}{y}}=\log _{b}x-\log _{b}y}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d4da797e2f17c0b107654bea83da45a7aee0000e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:23.092ex; height:5.176ex;" alt="{\displaystyle \log _{b}\!{\frac {x}{y}}=\log _{b}x-\log _{b}y}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \log _{2}16=\log _{2}\!{\frac {64}{4}}=\log _{2}64-\log _{2}4=6-2=4}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>⁡</mo> <mn>16</mn> <mo>=</mo> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mspace width="negativethinmathspace" /> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>64</mn> <mn>4</mn> </mfrac> </mrow> <mo>=</mo> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>⁡</mo> <mn>64</mn> <mo>−</mo> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>⁡</mo> <mn>4</mn> <mo>=</mo> <mn>6</mn> <mo>−</mo> <mn>2</mn> <mo>=</mo> <mn>4</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \log _{2}16=\log _{2}\!{\frac {64}{4}}=\log _{2}64-\log _{2}4=6-2=4}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fa345e9d8f3dec28452df73cb4c9cc5ddc60217c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:47.801ex; height:5.176ex;" alt="{\displaystyle \log _{2}16=\log _{2}\!{\frac {64}{4}}=\log _{2}64-\log _{2}4=6-2=4}"></span> </td></tr> <tr> <td>ঘাট</td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \log _{b}\left(x^{p}\right)=p\log _{b}x}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> <mo>⁡</mo> <mrow> <mo>(</mo> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>p</mi> </mrow> </msup> <mo>)</mo> </mrow> <mo>=</mo> <mi>p</mi> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> <mo>⁡</mo> <mi>x</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \log _{b}\left(x^{p}\right)=p\log _{b}x}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ed5fbeccc984242bcb16264afd3c0e4a36f9fbcd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:18.389ex; height:2.843ex;" alt="{\displaystyle \log _{b}\left(x^{p}\right)=p\log _{b}x}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \log _{2}64=\log _{2}\left(2^{6}\right)=6\log _{2}2=6}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>⁡</mo> <mn>64</mn> <mo>=</mo> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>⁡</mo> <mrow> <mo>(</mo> <msup> <mn>2</mn> <mrow class="MJX-TeXAtom-ORD"> <mn>6</mn> </mrow> </msup> <mo>)</mo> </mrow> <mo>=</mo> <mn>6</mn> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo>⁡</mo> <mn>2</mn> <mo>=</mo> <mn>6</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \log _{2}64=\log _{2}\left(2^{6}\right)=6\log _{2}2=6}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c7759dd13b68c55b4f1cda0c7e8046dfb413882e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:32.693ex; height:3.343ex;" alt="{\displaystyle \log _{2}64=\log _{2}\left(2^{6}\right)=6\log _{2}2=6}"></span> </td></tr> <tr> <td>মূল</td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \log _{b}{\sqrt[{p}]{x}}={\frac {\log _{b}x}{p}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> <mo>⁡</mo> <mrow class="MJX-TeXAtom-ORD"> <mroot> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>p</mi> </mrow> </mroot> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mrow> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>b</mi> </mrow> </msub> <mo>⁡</mo> <mi>x</mi> </mrow> <mi>p</mi> </mfrac> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \log _{b}{\sqrt[{p}]{x}}={\frac {\log _{b}x}{p}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/85de3061851d6fb9347dc78ffcaed1775391138e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.338ex; width:17.123ex; height:6.009ex;" alt="{\displaystyle \log _{b}{\sqrt[{p}]{x}}={\frac {\log _{b}x}{p}}}"></span> </td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \log _{10}{\sqrt {1000}}={\frac {1}{2}}\log _{10}1000={\frac {3}{2}}=1.5}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>10</mn> </mrow> </msub> <mo>⁡</mo> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>1000</mn> </msqrt> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>10</mn> </mrow> </msub> <mo>⁡</mo> <mn>1000</mn> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>3</mn> <mn>2</mn> </mfrac> </mrow> <mo>=</mo> <mn>1.5</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \log _{10}{\sqrt {1000}}={\frac {1}{2}}\log _{10}1000={\frac {3}{2}}=1.5}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bdaede671aaadfc7608d97f962e252497b46c280" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:38.357ex; height:5.176ex;" alt="{\displaystyle \log _{10}{\sqrt {1000}}={\frac {1}{2}}\log _{10}1000={\frac {3}{2}}=1.5}"></span> </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="তথ্যসূত্ৰ"><span id=".E0.A6.A4.E0.A6.A5.E0.A7.8D.E0.A6.AF.E0.A6.B8.E0.A7.82.E0.A6.A4.E0.A7.8D.E0.A7.B0"></span>তথ্যসূত্ৰ</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%E0%A6%98%E0%A6%BE%E0%A6%A4%E0%A6%BE%E0%A6%82%E0%A6%95&action=edit&section=4" title="শাখা সম্পাদনা: তথ্যসূত্ৰ"><span>সম্পাদনা কৰক</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r368696">.mw-parser-output .reflist{font-size:90%;margin-bottom:0.5em;list-style-type:decimal}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><span class="citation" id="CITEREFKateBhapkar2009">Kate, S.K.; Bhapkar, H.R. (2009), <a rel="nofollow" class="external text" href="https://books.google.com/books?id=v4R0GSJtEQ4C&pg=PA1"><i>Basics Of Mathematics</i></a>, প্ৰকাশক Pune: Technical Publications, <a href="/wiki/International_Standard_Book_Number" class="mw-redirect" title="International Standard Book Number">ISBN</a> <a href="/wiki/%E0%A6%AC%E0%A6%BF%E0%A6%B6%E0%A7%87%E0%A6%B7:%E0%A6%97%E0%A7%8D%E0%A7%B0%E0%A6%A8%E0%A7%8D%E0%A6%A5%E0%A7%B0_%E0%A6%89%E0%A6%A4%E0%A7%8D%E0%A6%B8/978-81-8431-755-8" title="বিশেষ:গ্ৰন্থৰ উত্স/978-81-8431-755-8">978-81-8431-755-8</a><span class="printonly">, <a rel="nofollow" class="external free" href="https://books.google.com/books?id=v4R0GSJtEQ4C&pg=PA1">https://books.google.com/books?id=v4R0GSJtEQ4C&pg=PA1</a></span></span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Basics+Of+Mathematics&rft.aulast=Kate&rft.aufirst=S.K.&rft.au=Kate%2C%26%2332%3BS.K.&rft.au=Bhapkar%2C%26%2332%3BH.R.&rft.date=2009&rft.place=Pune&rft.pub=Technical+Publications&rft.isbn=978-81-8431-755-8&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3Dv4R0GSJtEQ4C%26pg%3DPA1&rfr_id=info:sid/en.wikipedia.org:%E0%A6%98%E0%A6%BE%E0%A6%A4%E0%A6%BE%E0%A6%82%E0%A6%95"><span style="display: none;"> </span></span><sup class="noprint Inline-Template"><span title=" since September 2023" style="white-space: nowrap;">[<i><a href="/wiki/%E0%A7%B1%E0%A6%BF%E0%A6%95%E0%A6%BF%E0%A6%AA%E0%A6%BF%E0%A6%A1%E0%A6%BF%E0%A6%AF%E0%A6%BC%E0%A6%BE:Link_rot" class="mw-redirect" title="ৱিকিপিডিয়া:Link rot">সংযোগবিহীন উৎস</a></i>]</span></sup>, chapter 1</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text"><span class="citation book">Hobson, Ernest William (1914). <a rel="nofollow" class="external text" href="http://archive.org/details/johnnapierinvent00hobsiala"><i>John Napier and the invention of logarithms, 1614; a lecture</i></a>. University of California Libraries. Cambridge : University Press<span class="printonly">. <a rel="nofollow" class="external free" href="http://archive.org/details/johnnapierinvent00hobsiala">http://archive.org/details/johnnapierinvent00hobsiala</a></span>.</span><span class="Z3988" title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=John+Napier+and+the+invention+of+logarithms%2C+1614%3B+a+lecture&rft.aulast=Hobson&rft.aufirst=Ernest+William&rft.au=Hobson%2C%26%2332%3BErnest+William&rft.date=1914&rft.pub=Cambridge+%3A+University+Press&rft_id=http%3A%2F%2Farchive.org%2Fdetails%2Fjohnnapierinvent00hobsiala&rfr_id=info:sid/en.wikipedia.org:%E0%A6%98%E0%A6%BE%E0%A6%A4%E0%A6%BE%E0%A6%82%E0%A6%95"><span style="display: none;"> </span></span></span> </li> </ol></div></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">"<a dir="ltr" href="https://as.wikipedia.org/w/index.php?title=ঘাতাংক&oldid=380749">https://as.wikipedia.org/w/index.php?title=ঘাতাংক&oldid=380749</a>"ৰ পৰা অনা হৈছে</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/%E0%A6%AC%E0%A6%BF%E0%A6%B6%E0%A7%87%E0%A6%B7:%E0%A6%B6%E0%A7%8D%E0%A7%B0%E0%A7%87%E0%A6%A3%E0%A7%80%E0%A6%B8%E0%A6%AE%E0%A7%82%E0%A6%B9" title="বিশেষ:শ্ৰেণীসমূহ">শ্ৰেণী</a>: <ul><li><a href="/wiki/%E0%A6%B6%E0%A7%8D%E0%A7%B0%E0%A7%87%E0%A6%A3%E0%A7%80:%E0%A6%97%E0%A6%A3%E0%A6%BF%E0%A6%A4" title="শ্ৰেণী:গণিত">গণিত</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">অদৃশ্য শ্ৰেণীসমূহ: <ul><li><a href="/wiki/%E0%A6%B6%E0%A7%8D%E0%A7%B0%E0%A7%87%E0%A6%A3%E0%A7%80:%E0%A6%B8%E0%A6%82%E0%A6%AF%E0%A7%8B%E0%A6%97%E0%A6%AC%E0%A6%BF%E0%A6%B9%E0%A7%80%E0%A6%A8_%E0%A6%89%E0%A7%8E%E0%A6%B8_%E0%A6%89%E0%A6%B2%E0%A7%8D%E0%A6%B2%E0%A7%87%E0%A6%96%E0%A6%BF%E0%A6%A4_%E0%A6%AA%E0%A7%8D%E0%A7%B0%E0%A6%AC%E0%A6%A8%E0%A7%8D%E0%A6%A7" title="শ্ৰেণী:সংযোগবিহীন উৎস উল্লেখিত প্ৰবন্ধ">সংযোগবিহীন উৎস উল্লেখিত প্ৰবন্ধ</a></li><li><a href="/wiki/%E0%A6%B6%E0%A7%8D%E0%A7%B0%E0%A7%87%E0%A6%A3%E0%A7%80:%E0%A6%85%E0%A6%A8%E0%A6%BE_%E0%A6%85%E0%A6%B8%E0%A6%AE%E0%A7%80%E0%A6%AF%E0%A6%BC%E0%A6%BE_%E0%A6%AD%E0%A6%BE%E0%A6%B7%E0%A6%BE_%E0%A6%B8%E0%A6%AE%E0%A7%83%E0%A6%A6%E0%A7%8D%E0%A6%A7_%E0%A6%AA%E0%A7%8D%E0%A7%B0%E0%A6%AC%E0%A6%A8%E0%A7%8D%E0%A6%A7" title="শ্ৰেণী:অনা অসমীয়া ভাষা সমৃদ্ধ প্ৰবন্ধ">অনা অসমীয়া ভাষা সমৃদ্ধ প্ৰবন্ধ</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> এই পৃষ্ঠাখন ২৮ ছেপ্টেম্বৰ, ২০২৩ তাৰিখে ১১:৩৩ বজাত অন্তিম সংশোধন কৰা হৈছিল।</li> <li id="footer-info-copyright">লেখাবোৰ <a rel="nofollow" class="external text" href="//creativecommons.org/licenses/by-sa/4.0/">ক্ৰিয়েটিভ কমন্স এট্ৰিব্যুশ্বন/শ্বেয়াৰ-এলাইক লাইচেঞ্চৰ</a> অন্তৰ্গত; 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