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\frac{1}{3}-\log_{0.5}\left(\frac{1}{4}\right)
The base 8 logarithm of 2 is \frac{1}{3}.
\frac{1}{3}-2
The base 0.5 logarithm of \frac{1}{4} is 2.
-\frac{5}{3}
Subtract 2 from \frac{1}{3} to get -\frac{5}{3}.