Answer
$3$.
Work Step by Step
Step 1. Rewrite the equation as $log_2(x-1)=\frac{1}{3}(5-log_22^2)=\frac{1}{3}(5-2)=1$
Step 2. Thus $x-1=2^1=2$ and $x=3$.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 5 - Exponential and Logarithmic Functions - 5.6 Logarithmic and Exponential Equations - 5.6 Assess Your Understanding - Page 311: 15
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