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$17-24=$ Logarithmic Form Express the equation in…
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Problem 18 Easy Difficulty

$17-24=$ Logarithmic Form Express the equation in logarithmic
form.
$${ (a) }\ 6^{2}=36 \quad \text { (b) } 10^{-1}=\frac{1}{10}$$

Answer

(a) $\log _{6} 36=2 .$ (b) $\log _{10} \frac{1}{10}=-1$

Related Courses

Algebra
Algebra and Trigonometry

Chapter 4

Exponential and Logarithmic Functions

Section 3

Logarithmic Functions

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Exponential and Logarithmic Functions

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Video Transcript

but let's look at the procedure off changing from exponential form to logarithmic form first. So if I have the exponential form off A to the power off eggs equal to some B thing to change this into logarithmic form will have the log off and the base off the lock is the base off the exponents. So therefore it will be logged a and then the B goes into the log on the exponents, the eggs goes to the other, the right hand side, and that is changing from exponential form to logarithmic form. So let's apply it to the question at a we have six to the power off to equal to 36. So the base in this case will be the six and we have 36 inside the log equal to the exponents, which is to then at B. We have chained to the power off negative one equal to 1/10. So in the log, the base will be the tin. Then it will be the 1/10 inside a log and the negative one is the exponents going on the other side of the equation.

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