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: 85

Answer

$h^{-1}(c) = \log c$

Work Step by Step

$h(c) = 10^{c}$ Let $h(c) = y$ $y = 10^{c}$ Swap the $c$ and $y$ variables then solve for $y$ to find the inverse: $c = 10^{y}$ $y = \log_{10} c$ $y = \log c$ $h^{-1}(c) = \log c$
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