{"id":666775,"date":"2023-08-10T16:43:17","date_gmt":"2023-08-10T11:13:17","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=666775"},"modified":"2024-04-05T16:45:30","modified_gmt":"2024-04-05T11:15:30","slug":"the-value-of-log-2","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/articles\/the-value-of-log2\/","title":{"rendered":"The Value of log 2"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/the-value-of-log2\/#Value_of_log_2\" title=\"Value of log 2\">Value of log 2<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/the-value-of-log2\/#Logarithmic_Function_Definition\" title=\"Logarithmic Function Definition\">Logarithmic Function Definition<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/the-value-of-log2\/#Value_of_log_2_when_base_is_10\" title=\"Value of log 2 when base is 10\">Value of log 2 when base is 10<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/the-value-of-log2\/#Value_of_log_2_when_base_is_e\" title=\"Value of log 2 when base is e:\">Value of log 2 when base is e:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/the-value-of-log2\/#The_Value_of_log_2_when_base_is_2\" title=\"The Value of log 2 when base is 2\">The Value of log 2 when base is 2<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/the-value-of-log2\/#Solved_Problems_Using_log_2\" title=\"Solved Problems Using log 2:\">Solved Problems Using log 2:<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/the-value-of-log2\/#FAQs_on_Value_of_log_2\" title=\"FAQs on Value of log 2\">FAQs on Value of log 2<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/the-value-of-log2\/#Is_log_2_transcendental\" title=\"Is log 2 transcendental?\">Is log 2 transcendental?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/the-value-of-log2\/#What_is_the_formula_for_log_base_2\" title=\"What is the formula for log base 2?\">What is the formula for log base 2?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/the-value-of-log2\/#What_is_the_value_of_log_-1\" title=\"What is the value of log (-1)?\">What is the value of log (-1)?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/the-value-of-log2\/#What_is_log_2_of_infinity\" title=\"What is log 2 of infinity?\">What is log 2 of infinity?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/the-value-of-log2\/#Is_log_2_same_as_ln_2\" title=\"Is log 2 same as ln 2?\">Is log 2 same as ln 2?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/the-value-of-log2\/#Why_ln_2_transcendental\" title=\"Why ln 2 transcendental?\">Why ln 2 transcendental?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/the-value-of-log2\/#What_is_natural_logs_equals_to_2\" title=\"What is natural logs equals to 2?\">What is natural logs equals to 2?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/the-value-of-log2\/#How_to_change_log_2_to_log_10\" title=\"How to change log 2 to log 10?\">How to change log 2 to log 10?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Value_of_log_2\"><\/span>Value of log 2<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The value of log 2 to the base &#8216;a&#8217; (log\u2090(2)) represents the power to which &#8216;a&#8217; must be raised to obtain 2. In mathematical notation, log\u2090(2) = x is equivalent to a^x = 2. The specific numerical value of log\u2082(2) is exactly 1, but for other bases, log values can be irrational or transcendental numbers, depending on the base &#8216;a&#8217;..<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Logarithmic_Function_Definition\"><\/span>Logarithmic Function Definition<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The <a href=\"https:\/\/infinitylearn.com\/surge\/articles\/logarithm\/\"><strong>logarithmic<\/strong><\/a> function is the inverse of the exponential function. It is denoted by &#8220;log&#8221; and has a base that indicates the number to which the logarithm is applied. For example, log\u2090(b) represents the power to which &#8216;a&#8217; must be raised to obtain &#8216;b&#8217;. In mathematical notation, log\u2090(b) = c is equivalent to a^c = b. Logarithmic functions are used to solve exponential equations and find the unknown exponent in various mathematical and scientific applications.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Value_of_log_2_when_base_is_10\"><\/span>Value of log 2 when base is 10<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The value of log2 to the base 10 is approximately 0.30103. This means 10 raised to the power of approximately 0.30103 equals 2. In mathematical notation:<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Value_of_log_2_when_base_is_e\"><\/span>Value of log 2 when base is e:<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The value of log2 when base is e is approximately 0.6931. This means &#8216;e&#8217; (Euler&#8217;s number) raised to the power of approximately 0.6931 equals 2. In mathematical notation:<\/p>\n<p>e^0.6931 \u2248 2<\/p>\n<h3><span class=\"ez-toc-section\" id=\"The_Value_of_log_2_when_base_is_2\"><\/span>The Value of log 2 when base is 2<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The value of log2 when base is 2 exactly 1. This means 2 raised to the power of 1 equals 2. In mathematical notation:<\/p>\n<p>2^1 = 2<\/p>\n<p><a href=\"https:\/\/infinitylearn.com\/surge\/articles\/math-articles\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">Math Articles<br \/>\n<\/button><\/a> <a href=\"https:\/\/infinitylearn.com\/surge\/articles\/difference-between-log-and-ln\/\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">Difference between log and ln<\/button><\/a> <a href=\"https:\/\/infinitylearn.com\/surge\/articles\/logarithm\/\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">Logarithm<\/button><\/a> <a href=\"https:\/\/infinitylearn.com\/surge\/topics\/the-value-of-log-10\/\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">Value of log10<\/button><\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Solved_Problems_Using_log_2\"><\/span>Solved Problems Using log 2:<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>Example 1: Binary Exponential Representation<\/strong><\/p>\n<p>In computer science, the value of log\u2082(2) is frequently used to represent numbers in binary (base-2) format. For instance:<\/p>\n<p>log\u2082(2) = 1<\/p>\n<p>Thus, in binary, 2 is represented as 10.<\/p>\n<p><strong>Example 2: Time Complexity Analysis<\/strong><\/p>\n<p>In algorithm analysis, log\u2082(2) arises when analyzing the time complexity of certain algorithms, particularly those with divide-and-conquer strategies. For example, in binary search, each iteration halves the search space, and the time complexity is log\u2082(n), where &#8216;n&#8217; is the number of elements.<\/p>\n<p>These examples illustrate how log\u2082(2) plays a fundamental role in various fields, such as computer science, information theory, and algorithm analysis.<\/p>\n<p><strong>Related Links:<\/strong><\/p>\n<ul>\n<li><span style=\"color: #0000ff;\"><strong><a style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/articles\/value-of-log-1\/\" target=\"_blank\" rel=\"noopener\">Value of log 1<\/a><\/strong><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><strong><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/value-of-log-0\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cValue of Log 0 \u2013 Calculate Log Functions to Base 10 &amp; e\u201d (Edit)\">Value of Log 0<\/a><\/strong><\/span><\/li>\n<li><span style=\"color: #0000ff;\"><strong><a class=\"row-title\" style=\"color: #0000ff;\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/log-infinity-value\/\" target=\"_blank\" rel=\"noopener\" aria-label=\"\u201cValue of Log Infinity \u2013 Calculate Log Functions to Base 10 &amp; e\u201d (Edit)\">Value of Log Infinity<\/a><\/strong><\/span><\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"FAQs_on_Value_of_log_2\"><\/span>FAQs on Value of log 2<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"Is_log_2_transcendental\"><\/span>Is log 2 transcendental?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tYes, log 2 is a transcendental number. Transcendental numbers are non-algebraic numbers that are not the roots of any polynomial with rational coefficients. Logarithms of algebraic numbers like 2 are proven to be transcendental.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_the_formula_for_log_base_2\"><\/span>What is the formula for log base 2?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe general formula for a logarithm with an arbitrary base b is: logb(x) = ln(x) \/ ln(b) Where ln is the natural logarithm. Therefore, the formula for log base 2 is: log2(x) = ln(x) \/ ln(2)\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_the_value_of_log_-1\"><\/span>What is the value of log (-1)?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tLogarithms are only defined for positive real numbers. Since -1 is not in the domain of the log function, log (-1) has no value and is undefined.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_log_2_of_infinity\"><\/span>What is log 2 of infinity?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tAs x approaches infinity, log2(x) also approaches infinity. Therefore, log 2 of infinity is infinity.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"Is_log_2_same_as_ln_2\"><\/span>Is log 2 same as ln 2?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tNo, log 2 and ln 2 represent different logarithmic functions. Log 2 refers to the base-2 logarithm, while ln 2 is the natural logarithmic function with base e. They have different values.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"Why_ln_2_transcendental\"><\/span>Why ln 2 transcendental?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tln 2 is transcendental because it is the natural logarithm of an algebraic number (2) with an irrational base (e). Since e is irrational, ln 2 cannot be the root of any polynomial equation with rational coefficients. Hence, ln 2 is a non-algebraic transcendental number.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_natural_logs_equals_to_2\"><\/span>What is natural logs equals to 2?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tIf the statement is ln(x) = 2, then by applying the inverse ln function, we get: e^2 = e^(ln(x)) = x Therefore, x = e^2 \u2248 7.389\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"How_to_change_log_2_to_log_10\"><\/span>How to change log 2 to log 10?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tUse the change of base formula: logb(x) = loga(x)\/loga(b) For log2 to log10: log10(x) = log2(x) \/ log2(10)\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Is log 2 transcendental?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Yes, log 2 is a transcendental number. Transcendental numbers are non-algebraic numbers that are not the roots of any polynomial with rational coefficients. Logarithms of algebraic numbers like 2 are proven to be transcendental.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the formula for log base 2?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The general formula for a logarithm with an arbitrary base b is: logb(x) = ln(x) \/ ln(b) Where ln is the natural logarithm. Therefore, the formula for log base 2 is: log2(x) = ln(x) \/ ln(2)\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is the value of log (-1)?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Logarithms are only defined for positive real numbers. Since -1 is not in the domain of the log function, log (-1) has no value and is undefined.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is log 2 of infinity?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"As x approaches infinity, log2(x) also approaches infinity. Therefore, log 2 of infinity is infinity.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Is log 2 same as ln 2?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"No, log 2 and ln 2 represent different logarithmic functions. Log 2 refers to the base-2 logarithm, while ln 2 is the natural logarithmic function with base e. They have different values.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"Why ln 2 transcendental?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"ln 2 is transcendental because it is the natural logarithm of an algebraic number (2) with an irrational base (e). Since e is irrational, ln 2 cannot be the root of any polynomial equation with rational coefficients. Hence, ln 2 is a non-algebraic transcendental number.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is natural logs equals to 2?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"If the statement is ln(x) = 2, then by applying the inverse ln function, we get: e^2 = e^(ln(x)) = x Therefore, x = e^2 \u2248 7.389\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"How to change log 2 to log 10?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Use the change of base formula: logb(x) = loga(x)\/loga(b) For log2 to log10: log10(x) = log2(x) \/ log2(10)\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n","protected":false},"excerpt":{"rendered":"<p>Value of log 2 The value of log 2 to the base &#8216;a&#8217; (log\u2090(2)) represents the power to which &#8216;a&#8217; [&hellip;]<\/p>\n","protected":false},"author":53,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"value of log 2","_yoast_wpseo_title":"The Value of log 2 When base is 10, e and 2, with Examples","_yoast_wpseo_metadesc":"Value of log 2 to the base 10 is approximately 0.30103. Value of loge2\u00a0when base is e approximately 0.6931. Value of log2 when base is 2 exactly 1.","custom_permalink":"articles\/the-value-of-log2\/"},"categories":[8442,8443],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The Value of log 2 When base is 10, e and 2, with Examples<\/title>\n<meta name=\"description\" content=\"Value of log 2 to the base 10 is approximately 0.30103. Value of loge2\u00a0when base is e approximately 0.6931. 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