Answer
$-10$
Work Step by Step
Replace $9$ by $3^2$
$3^{x-2} =[(3)^2]^{x+4}$
Use the distributive property $ a (b+c)=ab+ac $
$\implies 3^{x-2} =3^{2x+8}$
Simply to obtain: $ x-2 =2x+8 $
or, $ x=-10$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 3 - Test - Page 515: 11
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