Answer
$x=\ln 3$
Work Step by Step
$2e^{2x}-5e^{x}-3=0\Rightarrow \left( 2e^{x}+1\right) \left( e^{x}-3\right) =0$
$\Rightarrow e^{x}-3=0\Rightarrow e^{x}=3\Rightarrow x=\ln 3$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 4 - Inverse, Exponential, and Logarithmic Functions - Chapter 4 Test Prep - Review Exercises - Page 492: 49
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