Answer
$8/3 = x$
Work Step by Step
$9^{x+4} = 243^x$
$(3^2)^{x+4} = (3*3*3*3*3)^x$
$(3^2)^{x+4} = (3^5)^x$
$3^{2*(x+4)} = 3^{5*x}$
$3^{2x+8} = 3^{5x}$
$2x+8 = 5x$
$2x+8-2x=5x-2x$
$8 = 3x$
$8/3 = 3x/3$
$8/3 = x$
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 11 - Cumulative Review - Page 670: 28c
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