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 Review Exercises - Page 541: 7


$h^{-1}(t) = 0.2^{t}$

Work Step by Step

$h(t) = \log_{0.2} t$ Let $h(t) = y$ $y = \log_{0.2} t$ Swap the variables $t$ and $y$ and then solve for $y$ to find the inverse: $t = \log_{0.2} y$ $y = 0.2^{t}$ $h^{-1}(t) = 0.2^{t}$
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