Answer
Since $x \ne -2$, then $x = 6$
Work Step by Step
$5^{x^{2}-12} = 25^{2x}$
$5^{x^{2}-12} = (5^{2})^{2x}$
$5^{x^{2}-12} = 5^{4x}$
$x^{2} - 12 = 4x$
$x^{2} - 4x - 12 = 0$
$(x-6)(x+2) = 0$
$x = 6, -2$
Since $x \ne -2$, then $x = 6$
College Algebra (6th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-32178-228-3
ISBN 13:
978-0-32178-228-1
Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.4 - Page 490: 101
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