Answer
$0,6$
Work Step by Step
1. By definition, from $log_2[(x-4)(x-2)]=3$, we have $(x-4)(x-2)=2^3\longrightarrow x^2-6x+8=8\longrightarrow x(x-6)=6 \longrightarrow x=0,6$
2. Check the answers in the original equation and they both fit.
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 4 - Inverse, Exponential, and Logarithmic Functions - Test - Page 496: 18
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