Precalculus (6th Edition)

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: 49

Answer

$x=\ln 3$

Work Step by Step

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