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\frac{1}{2}+3\log_{4}\left(8\right)
The base 4 logarithm of 2 is \frac{1}{2}.
\frac{1}{2}+3\times \frac{3}{2}
The base 4 logarithm of 8 is \frac{3}{2}.
\frac{1}{2}+\frac{9}{2}
Multiply 3 and \frac{3}{2} to get \frac{9}{2}.
5
Add \frac{1}{2} and \frac{9}{2} to get 5.