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 - 6.3 Graphing Logarithmic Functions - 6.3 Exercises - Page 511: 42

Answer

$h^{-1}(x) = \log_6 x$

Work Step by Step

$h(x) =6^{x}$ Let $h(x) = y$ $y = 6^{x}$ Swap the $x$ and $y$ variable to find the inverse: $x =6^{y}$ $y = \log_6 x$ $h^{-1}(x) = \log_6 x$
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