Answer
$x = 0$
Work Step by Step
Note: A number to the power of $0$ will always $= 1$.
$(\frac{4}{7})^{x} = 1$
$x = 0$
Check:
$ (\frac{4}{7})^{0}$
$= (\frac{4^{0}}{7^{0}})$
$= \frac{1}{1}$
$ = 1$
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
Published by
Brooks Cole
ISBN 10:
0-53449-636-9
ISBN 13:
978-0-53449-636-4
Chapter 5 - Exponential Functions - 5.2 Solving Equations Using Exponent Rules - 5.2 Exercises - Page 437: 36
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