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$17-24=$ Logarithmic Form Express the equation in logarithmicform.$${ (a) }\ 4^{-3 / 2}=0.125 \quad \text { (b) } 7^{3}=343$$

a. $\log _{4} 0.125=-\frac{3}{2}$b. $\log _{7} 343=3$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 3

Logarithmic Functions

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Lectures

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$17-24=$ Logarithmic Form …

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Logarithmic Form Express t…

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$17-24$ Logarithmic Form E…

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Express the equation in lo…

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In Exercises $11-14,$ writ…

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$25-34=$ Evaluating Logari…

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Exponential Form Express t…

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In Exercises 1–8, write ea…

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Write each logarithmic equ…

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$9-14$ Express the equatio…

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$9-16$ Exponential Form Ex…

Logarithmic Equations Use …

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$35-44$ Logarithmic Equati…

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 a We have four to the power of negative 3/2, equal to zero comma, 1 to 5. So remember that the base off the exponents is becomes the base off the lock and then we put the zero come on 125 in the log and the exponents. He's on the other side. So that's negative. 3/2. Then not be. It is given to a 7/3, equal to 343. So the bases again this Stephen and then we put the 343 in the log equal to and then we bring their exponents down

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