Answer
$x = 3$
Work Step by Step
$3\log_2 (x-1) = 5 - \log_2 4$
$\log_2 (x-1)^{3} = 5 - \log_2 2^{2}$
$\log_2 (x-1)^{3} = 5 - 2$
$\log_2 (x-1)^{3} = 3$
$(2)^{3} = (x-1)^{3}$
$(2) = (x -1)$
$2 + 1 = x$
$x = 3$
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: 74
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