Answer
$x = -\frac{4}{5}$
Work Step by Step
$9^{x+2} = 27^{-x}$
$(3^{2})^{x+2} = (3^{3})^{-x}$
$3^{2(x+2)} = 3^{-3x}$
$2(x+2) = - 3x$
$2x + 4 = -3x$
$2x + 3x = -4$
$5x = -4$
$x = -\frac{4}{5}$
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 - Summary, Review, and Test - Review Exercises - Page 511: 67
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