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 - Page 504: 84


$B^{-1}(t) = \ln t$

Work Step by Step

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