Answer
$f^{-1}(x)=\log_5 x$
Work Step by Step
$$f(x)=5^x$$
$$y=5^x$$
Interchange $x$ and $y$ and solve for $y$:
$$x=5^y$$
$$y=\log_5 x$$
$$f^{-1}(x)=\log_5 x$$
College Algebra (11th Edition)
by Lial, Margaret L.; Hornsby John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671791
ISBN 13:
978-0-32167-179-0
Chapter 4 - Section 4.4 - Evaluating Logarithms and the Change-of-Base Theorem - 4.4 Exercises - Page 434: 3
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