#### Answer

$x=\ln 3$

#### Work Step by Step

$2e^{2x}-5e^{x}-3=0\Rightarrow \left( 2e^{x}+1\right) \left( e^{x}-3\right) =0$
$\Rightarrow e^{x}-3=0\Rightarrow e^{x}=3\Rightarrow x=\ln 3$

Published by
Pearson

ISBN 10:
013421742X

ISBN 13:
978-0-13421-742-0

$x=\ln 3$

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