Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 5 - Exponential and Logarithmic Functions - Chapter Review - Chapter Test - Page 348: 19

Answer

$2\sqrt 6\approx4.899$

Work Step by Step

Step 1. Combine the left side to get $log_2[(x-4)(x+4)]=3 \longrightarrow x^2-16=2^3 \longrightarrow x^2=24 \longrightarrow x=\pm2\sqrt 6$ Step 2. Check, only $x=2\sqrt 6\approx4.899$ fits.
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