Answer
$B^{-1}(t) = \ln t$
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:
$t = e^{y}$
$y = \ln t$
$B^{-1}(t) = \ln t.$
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
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
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
