Answer
$ x=-\ln (2)$
Work Step by Step
We need to simplify
$8-2e^{-x} =4$
$-2e^{-x} =-4$
This yields: $e^{-x}=2$
Take $\ln$ on both sides to obtain:
$\ln e^{-x}=\ln 2$
Since, $\ln e^{a}=a$
So, $-x =\ln 2$
Therefore, $ x=-\ln (2)$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 4 - Exponential and Logarithmic Functions - Chapter Test - Page 372: 16
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