Answer
x= -6
Work Step by Step
We can rewrite the equation:
$25^{x}=125^{x+2}$
$5^{2x}=5^{3(x+2)}$
$5^{2x}=5^{3x+6}$
So,
$2x = 3x + 6$
$x= -6$
Calculus with Applications (10th Edition)
by Lial, Margaret L.; Greenwell, Raymond N.; Ritchey, Nathan P.
Published by
Pearson
ISBN 10:
0321749006
ISBN 13:
978-0-32174-900-0
Chapter 2 - Nonlinear Functions - 2.4 Exponential Functions - 2.4 Exercises - Page 86: 18
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