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: 33

Answer

$x=-3$

Work Step by Step

We are given the equation $5^{x}=\frac{1}{125}$. First, we must write both sides using the same base. $5^{x}=5^{-3}=\frac{1}{125}$ Next, we must take the natural log of both sides. $ln(5^{x})=ln(5^{-3})$ $xln(5)=-3ln(5)$ Divide both sides by $ln(5)$. $x=-3$
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