Answer
$x=4$
Work Step by Step
$$4^{2x+1}=8^{3x-6}$$
$$(2^2)^{2x+1}=(2^3)^{3x-6}$$
$$(2)^{2(2x+1)}=(2)^{3(3x-6)}$$
$$2^{4x+2}=2^{9x-18}$$
$$4x+2=9x-18$$
$$4x-9x=-2-18$$
$$-5x=-20$$
$$x=4$$
College Algebra (11th Edition)
by Lial, Margaret L.; Hornsby John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671791
ISBN 13:
978-0-32167-179-0
Chapter 4 - Quiz - Sections 4.1-4.4 - Page 439: 2
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