What is 8/13 log_{2}(8/13)-5/13 log_{2}(5/13) ?

The solution to 8/13 log_{2}(8/13)-5/13 log_{2}(5/13) is (log_{2}(16777216/6865625))/(13)

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simplify 8/13 log_{2}(8/13)-5/13 log_{2}(5/13)

simplify

\frac{8}{13} lo g_{2} (\frac{8}{13}) - \frac{5}{13} lo g_{2} (\frac{5}{13})

\frac{lo g _{2} ( \frac{16777216}{6865625} )}{13}

Decimal Notation

0.09915 \dots

Solution steps

\frac{8}{13} lo g_{2} (\frac{8}{13}) - \frac{5}{13} lo g_{2} (\frac{5}{13})

\frac{8}{13} lo g_{2} (\frac{8}{13}) - \frac{5}{13} lo g_{2} (\frac{5}{13}) = \frac{8 lo g _{2} ( \frac{8}{13} ) - 5 lo g _{2} ( \frac{5}{13} )}{13}

= \frac{8 lo g _{2} ( \frac{8}{13} ) - 5 lo g _{2} ( \frac{5}{13} )}{13}

8 lo g_{2} (\frac{8}{13}) - 5 lo g_{2} (\frac{5}{13}) = lo g_{2} (\frac{16777216}{6865625})

= \frac{lo g _{2} ( \frac{16777216}{6865625} )}{13}

0.18 - \frac{0.0591}{30} \cdot lo g_{10} (\frac{0.4}{0.2})

ln (\frac{4}{x}) + ln (\frac{2}{x ^{3}})

lo g_{10} (\frac{( x - 6 ) ^{4}}{x ^{5}})

ln (\frac{3 x y ^{2}}{z})

\frac{1}{3} ln ∣ x - 3 ∣ + \frac{1}{3} ln x^{2} + 9

What is 8/13 log_{2}(8/13)-5/13 log_{2}(5/13) ?
The solution to 8/13 log_{2}(8/13)-5/13 log_{2}(5/13) is (log_{2}(16777216/6865625))/(13)