Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.5 Exponential and Logarithmic Equations - 4.5 Exercises - Page 469: 36

Answer

$\{ln3, ln5 \}$

Work Step by Step

Step 1. Let $u=e^x$, we have $u^2-8u+15=0$ or $(u-3)(u-5)=0$ Step 2. For $u=3$, we have $e^x=3$, thus $x=ln3$ Step 3. For $u=5$, we have $e^x=5$, thus $x=ln5$ Step 4. Write the answers in set form $\{ln3, ln5 \}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After 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.