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$9-16$ Exponential Form Express the equation in exponentialform.$${ (a) }log _{5}\left(\frac{1}{125}\right)=-3 \quad \text { (b) } \log _{8} 4=\frac{2}{3}$$

$$(a) 5^{-3}=\frac{1}{125} \cdot(b) 8^{\frac{2}{3}}=4$$

Algebra

Chapter 4

Exponential and Logarithmic Functions

Section 3

Logarithmic Functions

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University of Michigan - Ann Arbor

Lectures

02:32

Express the equation in ex…

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$9-16$ Exponential Form Ex…

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Exponential Form Express t…

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Solve the problem without …

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$3-8$ Express the equation…

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$9-14$ Express the equatio…

Logarithmic Form Express t…

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In Exercises $11-14,$ writ…

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Write each equation in exp…

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we have to change the logarithmic functions into exponential forms, these rods. But in order to do that, let's have a look at the definition first. So our definition states that if we have a lock to the base, a be equal to see right, that is just to show the different places A, B and C. Then we can rewrite this as our base off, eh? To the bower off, See? Equal to be so make sure that you understand this the base off the lock becomes the base off the exponents equal to being right. So let's apply this now to what we have here in the first guys in a we see that five is the base and our exponents is the negative three. So the one over 125 goes to the right inside. And if we applied to be, then we have eight as our base to over three as our exponents equal to four

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