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$17-24=$ Logarithmic Form Express the equation in logarithmicform.$${ (a) }\ 8^{-1}=\frac{1}{8} \quad \text { (b) } 2^{-3}=\frac{1}{8}$$

(a) $\log _{8} \frac{1}{8}=-1 .$ (b) $\log _{2} \frac{1}{8}=-3$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 3

Logarithmic Functions

Missouri State University

Idaho State University

Lectures

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$17-24=$ Logarithmic Form …

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$17-24$ Logarithmic Form E…

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Logarithmic Form Express t…

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Express the equation in lo…

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In Exercises $11-14,$ writ…

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Exponential Form Express t…

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Logarithmic Equations Use …

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Write the equation in loga…

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$3-8$ Express the equation…

Write each logarithmic equ…

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$25-34=$ Evaluating Logari…

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Write the exponential equa…

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 that's you. It's given us eight to power off. Negative one equal to 1/8. Right? So the base in this case will be the right and we'll put the one over right in the log, equal to the exponents, which is negative. One that be. We have two to the power off. Negative three equal to one over, right, so they for the base off the log is that too? Then the 1/8. And on the other side of the equation of the equal sign, it's negative. Three. The exponents

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