College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.4 - Page 490: 43


$x=0, x\approx0.69$

Work Step by Step

Begin by factoring the terms using trial and error. Then set the terms in each set of parentheses equal to $0$ and solve for $x$ by using the natural log on both sides of each equation. $e^{2x}-3e^{x}+2=0$ $(e^x-1)(e^x-2)=0$ $e^x-1=0, e^x-2=0$ $e^x=1, e^x=2$ $x=0, x\approx0.69$
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