## Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole

# Chapter 5 - Exponential Functions - 5.2 Solving Equations Using Exponent Rules - 5.2 Exercises: 97

#### Answer

1. Exponential equation 2. $x = 3$

#### Work Step by Step

1. Exponential equation The variable is the exponent. 2. Solve $(\frac{1}{5})^{x} = (\frac{1}{125})$ $5^{-x} = 125^{-1}$ $5^{-x} = 5^{-3}$ $-x = -3$ $x = 3$ Check: $(\frac{1}{5})^{3}$ $= \frac{1}{125}$

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