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: 86

Answer

$g^{-1}(t) = \log_2 t$

Work Step by Step

$g(t) = 2^{t}$ Let $g(t) = y$ $y = 2^{t}$ Swap the $t$ and $y$ variables then solve for $y$ to find the inverse: $t = 2^{y}$ $y = \log_2 t$ $g^{-1}(t) = \log_2 t.$
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