College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 6 - Section 6.3 - Exponential Functions - 6.3 Assess Your Understanding: 67

Answer

$x=2$

Work Step by Step

Note that $25=5^2$. Thus, the given equation is equivalent to: $\left(\dfrac{1}{5}\right)^x = \dfrac{1}{5^2} \\\left(\dfrac{1}{5}\right)^x = \left(\dfrac{1}{5}\right)^2$ Use the rule $a^m=a^n \longrightarrow m = n$ to obtain: $x=2$
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