{"id":155444,"date":"2022-03-26T00:39:09","date_gmt":"2022-03-25T19:09:09","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/exponents-logarithms-explanation-rules-and-faqs\/"},"modified":"2022-12-31T14:59:25","modified_gmt":"2022-12-31T09:29:25","slug":"exponents-logarithms-explanation-rules-and-faqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/exponents-logarithms\/","title":{"rendered":"Exponents Logarithms &#8211; Explanation, Rules and FAQs"},"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\/maths\/exponents-logarithms\/#Exponents\" title=\"Exponents\">Exponents<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/exponents-logarithms\/#Logarithms\" title=\"Logarithms\">Logarithms<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/exponents-logarithms\/#Log_to_Exponential\" title=\"Log to Exponential\">Log to Exponential<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/exponents-logarithms\/#Exponential_to_Log\" title=\"Exponential to Log\">Exponential to Log<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/exponents-logarithms\/#Log_Exponent_Rules\" title=\"Log Exponent Rules\">Log Exponent Rules<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/exponents-logarithms\/#Exponent_Rules\" title=\"Exponent Rules:\">Exponent Rules:<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Exponents\"><\/span>Exponents<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>An exponent is a number that is written as a superscript following another number, which is called the base. The exponent indicates how many times to multiply the base by itself. For example, the number 3 raised to the power of 2 is 3 multiplied by 3 multiplied by 3, or 27. The number 9 raised to the power of 0 is just 9.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-155443 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/exponents-logarithms-explanation-rules-and-faqs.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/exponents-logarithms-explanation-rules-and-faqs.jpg?v=1648235346 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/exponents-logarithms-explanation-rules-and-faqs-300x212.jpg?v=1648235346 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Logarithms\"><\/span>Logarithms<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Logarithms are a mathematical function that are used to solve problems involving exponents. The logarithm of a number is the inverse of the exponential function. This means that the logarithm of a number is the power to which a base must be raised to produce the number.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Log_to_Exponential\"><\/span>Log to Exponential<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The logarithmic to exponential conversion is a mathematical process that transforms a logarithmic equation into an exponential equation. The process is accomplished by taking the natural logarithm of both sides of the equation, and then solving for the variable. The exponential equation is then used to solve the problem.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Exponential_to_Log\"><\/span>Exponential to Log<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>arithmic<\/p>\n<p>To convert an exponential expression to a logarithmic expression, divide the exponential expression by the base.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Log_Exponent_Rules\"><\/span>Log Exponent Rules<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The product of two numbers is the product of their individual exponents.<\/p>\n<p>The quotient of two numbers is the quotient of their individual exponents.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Exponent_Rules\"><\/span>Exponent Rules:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>1. Any number to the power of 0 is 1.<\/p>\n<p>2. Any number to the power of 1 is the number itself.<\/p>\n<p>3. Any number to the power of 2 is the number multiplied by itself.<\/p>\n<p>4. Any number to the power of 3 is the number multiplied by itself multiplied by itself.<\/p>\n<p>5. Any number to the power of 4 is the number multiplied by itself multiplied by itself multiplied by itself.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Exponents An exponent is a number that is written as a superscript following another number, which is called the base. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Exponents Logarithms","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about exponents logarithms topic of maths in details explained by subject experts on infinitylearn.com. 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