Answer
$\log_{\frac{1}{2}}{8}=-3$
Work Step by Step
Recall:
$$a^y=b \longleftrightarrow \log_a{b}=y$$
Use the definition above to obtain:
$$8=\left(\frac{1}{2}\right)^{-3} \longrightarrow \log_{\frac{1}{2}}{8}=-3$$
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 - Mid-Chapter Quiz - Page 461: 20
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