#### Answer

$f^{-1}(x) = 5^{x}$

#### Work Step by Step

$f(x) = \log_5 x$
Let $f(x) = y$
$y = \log_5 x$
Swap the variables $x$ and $y$ and then solve for $y$ to find the inverse:
$x = \log_5 y$
$5^{x} = y$
$f^{-1}(x) = 5^{x}$

Published by
Brooks Cole

ISBN 10:
0-53449-636-9

ISBN 13:
978-0-53449-636-4

$f^{-1}(x) = 5^{x}$

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