Answer
$ln3$
Work Step by Step
Solve each equation for $x$.
Given: $e^{2x}-e^{x}-6=0$
$(e^{x}+2)(e^{x}-3)=0$
Thus,
$e^{x}=3$ or $e^{x}=-2$
Consider positive term we have
$e^{x}=3$ This implies $x=ln3$
Hence, $x=ln3$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 6 - Inverse Functions - 6.3 Logarithmic Functions - 6.3 Exercises - Page 427: 35
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
