Answer
$\log_{4}{\left(\frac{1}{4}\right)}=-1$
Work Step by Step
Recall:
$$a^y=b \longleftrightarrow \log_a{b}=y$$
Use the definition above to obtain:
$$\frac{1}{4}=4^{-1} \longrightarrow \log_{4}{\left(\frac{1}{4}\right)}=-1$$
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: 19
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