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
$4 = \left(\frac{1}{2}\right)^{-2} \longleftrightarrow \log_{\frac{1}{2}}{4}=-2.$
Algebra 2 Common Core
by Hall, Prentice
Published by
Prentice Hall
ISBN 10:
0133186024
ISBN 13:
978-0-13318-602-4
Chapter 7 - Exponential and Logarithmic Functions - 7-3 Logarithmic Functions as Inverses - Practice and Problem-Solving Exercises - Page 456: 17
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