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: 35

Answer

$x=-1$

Work Step by Step

We are given the equation $5^{x}=.2=\frac{1}{5}$. First, we must write both sides using the same base. $5^{x}=5^{-1}=\frac{1}{5}$ Next, we must take the natural log of both sides. $ln(5^{x})=ln(5^{-1})$ $xln(5)=-1ln(5)$ Divide both sides by $ln(5)$. $x=-1$
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