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$17-24$ Logarithmic Form Express the equation in logarithmicform.$${ (a) }10^{4}=10,000 \quad \text { (b) } 5^{-2}=\frac{1}{25}$$

(a) $\log _{10} 10000=4 .$ (b) $\log _{5} \frac{1}{25}=-2$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 3

Logarithmic Functions

Harvey Mudd College

University of Michigan - Ann Arbor

Idaho State University

Lectures

01:47

$17-24=$ Logarithmic Form …

01:33

00:45

Logarithmic Form Express t…

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01:46

00:09

Write the equation in loga…

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Write each equation in log…

00:40

Write each exponential equ…

00:20

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01:10

Write in logarithmic form.…

00:23

Write the logarithmic equa…

00:41

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write each equation in exp…

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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. So in a way, we have obtained the power of four equal to 10,000 so the base will be the team and then the 10,000 in the lock equal to the exponents, which is therefore question be is five to the bar of negative to equal to 1/25. So the base off the lock will be five, then in the lobby is the 1/25 equal to the exponents off. Negative, too

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