#### 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)$

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Published by
Pearson

ISBN 10:
0-32193-104-1

ISBN 13:
978-0-32193-104-7

$ x=-\ln (2)$

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