Answer
$\log_2{\frac{1}{16}}=-4$
Work Step by Step
RECALL:
$a^x=y \longrightarrow \log_{a}{y}=x$
Use the rule above, with $a=2$, $x= -4$, and $y=\frac{1}{16}$, to obtain:
$\log_2{\frac{1}{16}}=-4$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.