Answer
$x-\ln4$ or $x=\ln2$
Work Step by Step
Let $u=e^x$
$e^{2x}-6^x+8=0$
$u^2-6u+8=0$
Factor.
$(u-4)(u-2)=0$
$u=4$ or $u=2$
$e^x=4$ or $e^x=2$
$x-\ln4$ or $x=\ln2$
College Algebra (11th Edition)
by Lial, Margaret L.; Hornsby John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671791
ISBN 13:
978-0-32167-179-0
Chapter 4 - Section 4.5 - Exponential and Logarithmic Equations - 4.5 Exercises - Page 446: 29
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