Answer
$\approx 0.97$
Work Step by Step
We are given that $ e^{5x}-32=96$
Use rule: $\log_a{a^x}=x $ and simplify to obtain:
$ e^{5x} =128$
Take $\ln $ of each side.
$\ln e^{5x} =\ln 128$
So, $ x=\dfrac{\ln 128}{5} \approx 0.97$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 3 - Cumulative Review Exercises - Page 516: 4
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