Answer
$x = 1.10$
Work Step by Step
$e^{2x} - e^{x} - 6 = 0$
Let $e^{x} = x$
$x^{2} - x - 6 = 0$
$(x-3)(x+2) = 0$
$e^{x} - 3 = 0$
$e^{x} = 3$
$x = \ln 3$
$e^{x} + 2 = 0$
$e^{x} = -2$
$x \ne \ln (-2)$
Therefore, $x = \ln 3=1.10$
College Algebra (6th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-32178-228-3
ISBN 13:
978-0-32178-228-1
Chapter 4 - Summary, Review, and Test - Review Exercises - Page 511: 73
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