Answer
$f^{-1}(x)=5^x$
Work Step by Step
1. Rewrite the function as $y=log_5(x)$
2. Exchange $x,y$ to get $x=log_5(y)$
3. Solve for $y$ to get $y=5^x$
4. Replace $y$ with $f^{-1}(x)$ to get $f^{-1}(x)=5^x$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 4 - Inverse, Exponential, and Logarithmic Functions - Summary Exercises on Inverse, Exponential, and Logarithmic Functions - Exercises - Page 448: 14
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