Answer
$2$
Work Step by Step
Since $\frac{1}{16}=\frac{1}{2^4}=(\frac{1}{2})^4$, we have $log_{1/2}(\frac{1}{16})=log_{1/2}(\frac{1}{2})^4=4$, thus $x=\sqrt 4=2$
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 - Summary Exercises on Inverse, Exponential, and Logarithmic Functions - Exercises - Page 449: 40
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