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 - 6.2 Logarithmic Functions - 6.2 Exercises: 90

Answer

$f^{-1}(x) = 7^{x}$

Work Step by Step

$f(x) = \log_7 x$ Let $f(x) = y$ $y =\log_7 x$ Swap the $x$ and $y$ variable to find the inverse: $x = \log_7 y$ $y = 7^{x}$ $f^{-1}(x) = 7^{x}$
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