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2\left(5\log_{8}\left(u\right)+\log_{8}\left(v\right)\right)
Factor out 2.
\frac{5\ln(u)+\ln(v)}{3\ln(2)}
Consider 5\ln(u)\times \frac{1}{\ln(8)}+\ln(v)\times \frac{1}{\ln(8)}. Factor out \frac{1}{3\ln(2)}.
\frac{2\left(5\ln(u)+\ln(v)\right)}{3\ln(2)}
Rewrite the complete factored expression.