Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 6 - Logarithmic Functions - Chapter Test: 17

Answer

$f^{-1}(x) = \log_5 x$

Work Step by Step

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