Functions Modeling Change: A Preparation for Calculus, 5th Edition

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



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 $x=-\frac{5}{3}$.
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