## Calculus 8th Edition

Published by Cengage

# Chapter 6 - Inverse Functions - 6.3 Logarithmic Functions - 6.3 Exercises - Page 427: 35

#### 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, $x=ln3$

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.