Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 6 - Inverse Functions - 6.3 Logarithmic Functions - 6.3 Exercises: 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, $x=ln3$
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