Answer
$2\sqrt 6\approx4.899$
Work Step by Step
1. $log_2(x-4)+log_2(x+4)=3 \Longrightarrow log_2(x^2-16)=3 \Longrightarrow x^2-16=2^3 \Longrightarrow x=\pm2\sqrt 6$.
2. Check, $x=2\sqrt 6\approx4.899$ fit(s).
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 4 - Exponential and Logarithmic Functions - Chapter Test - Page 372: 19
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