#### Answer

$\log_{\frac{1}{2}}{4}=-2$

#### Work Step by Step

RECALL:
$y=a^b \longleftrightarrow \log_a{y}=b$
Use the definition above to have
$4 = \left(\frac{1}{2}\right)^{-2} \longleftrightarrow \log_{\frac{1}{2}}{4}=-2.$

Published by
Prentice Hall

ISBN 10:
0133186024

ISBN 13:
978-0-13318-602-4

$\log_{\frac{1}{2}}{4}=-2$

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