Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 9 - Section 9.3 - Exponential Functions - Exercise Set - Page 560: 59

Answer

$x=-1$

Work Step by Step

We are given that $5^{x}=\frac{1}{5}$. By inspection, we know that $x=-1$. We know this because $5^{-1}=\frac{1}{5^{1}}=\frac{1}{5}$.
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