Answer
$x=-\frac{5}{3}$
Work Step by Step
Since $a^{-b}=\frac{1}{a^b}$, the equation can be rewritten as $$e^{3x}=\frac{1}{e^5}$$ $$e^{3x}=e^{-5}$$ This means that $3x=-5$. Dividing both sides by $3$ yields $x=-\frac{5}{3}$.
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 5 - Logarithmic Functions - 5.1 Logarithms and Their Properties - Exercises and Problems for Section 5.1 - Skill Refresher - Page 193: S6
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.
