College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Section 4.5 - Exponential and Logarithmic Functions - 4.5 Exercises: 39

Answer

$x=0$ or $x=\ln 2\approx 0.6931$

Work Step by Step

We need to solve: $e^{2x}-3e^{x}+2=0$ We factor: $(e^{x}-1)(e^{x}-2)=0$ $e^{x}-1=0$ or $e^{x}-2=0$ $e^{x}=1$ or $e^x=2$ $x=\ln 1$ or $x=\ln 2$ $x=0$ or $x=\ln 2\approx 0.6931$
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