Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 9 - Section 9.2 - Exponential Functions - 9.2 Exercises: 27

Answer

$x=2$

Work Step by Step

We are given the equation $6^{x}=36$. First, we must write both sides using the same base. $6^{x}=6^{2}$ Next, we must take the natural log of both sides. $ln(6^{x})=ln(6^{2})$ $xln(6)=2ln(6)$ Divide both sides by $ln(6)$. $x=2$
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