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-\frac{1}{2}-\log_{4}\left(\frac{1}{16}\right)
The base 4 logarithm of \frac{1}{2} is -\frac{1}{2}.
-\frac{1}{2}-\left(-2\right)
The base 4 logarithm of \frac{1}{16} is -2.
-\frac{1}{2}+2
The opposite of -2 is 2.
\frac{3}{2}
Add -\frac{1}{2} and 2 to get \frac{3}{2}.