Answer
$x=a^y$
Work Step by Step
With $f(x)=a^x$, to find its inverse, let $y=a^x$, exchange $x,y$ to get $x=a^y$ and the solution to this equation gives $y=f^{-1}(x)$. If you have learned logarithm, $y=f^{-1}(x)=log_a(x)$.
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 - 4.2 Exponential Functions - 4.2 Exercises - Page 435: 129
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