Revise answer in LOG

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Aug 6th, 2022
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How to revise answer in LOG

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okay for these types of problems um what iamp;#39;m gonna do is iamp;#39;m gonna show you a little bit of you know using these kind of uh helpful tips with logarithms and but before these little helpful properties of logarithms and theyamp;#39;re going to help me kind of solve these logarithms or at least evaluate these logarithms i should say but the main important thing you guys need to know about this is what actually is a logarithm iamp;#39;ve gone through many other videos on what exactly logarithm is but very basically what a logarithm is is itamp;#39;s an exponent and what it what kind of exponent is is if i say the log base 3 of 9 what that says is 3 raised to what value or what number gives me 9. and so this oneamp;#39;s a pretty basic one you could say well the answer to that is obviously we know itamp;#39;s going to be 2. log base 3 of 9 is 2 because i can multiply 3 by itself twice to give me 9. now here i have log base 7 of 1 so 7 raised to what number gives me 1. n

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The equation l o g b x = l o g x l o g b is called the change of base formula, and may be used to convert to common log or natural log. You may also see the change of base formula as ⁡ x = l n x l n b , which is the same formula specifying a conversion to the natural log.
0:00 1:15 We just press these buttons second for log that will give us the inverse log. Notice its the 10MoreWe just press these buttons second for log that will give us the inverse log. Notice its the 10 raised to the power. Then we enter 3 so the inverse log of 3 equals x that means x equals 1000.
Lesson Summary. To review, we can undo logarithms by exponentiating. Just like we can multiply both sides of the equation by 2 to undo division, we can exponentiate both sides by 2, or by any number for that matter, turning x = y into bx = by.
First, identify the values of b,y, and x. Then, write the equation in the form x=logb(y). Here, b=2,x=3, and y=8. Therefore, the equation 23=8 is equivalent to log2(8)=3.
In order to eliminate the log, which has a default base of 10, we will need to raise both sides of the equation as powers using the value of 10.
To rid an equation of logarithms, raise both sides to the same exponent as the base of the logarithms.
We apply the inverse ex of the func- tion ln(x) to both sides to undo the natural logs. We know that we cannot take the natural log of a negative number (or of 0), and our equation contains the expression ln(y - 1).
The names of these rules are: Product rule. Division rule. Power rule/Exponential Rule. Change of base rule. Base switch rule. Derivative of log. Integral of log.

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