Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole

Chapter 6 - Logarithmic Functions - Chapter Review Exercises: 6

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: $x = \log_5 y$ $5^{x} = y$ $f^{-1}(x) = 5^{x}$

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