What is simplify-(2/8)log_{2}(2/8)-(6/8)log_{2}(6/8) ?

The solution to simplify-(2/8)log_{2}(2/8)-(6/8)log_{2}(6/8) is 1/2-3/4 log_{2}(3/4)

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simplify-(2/8)log_{2}(2/8)-(6/8)log_{2}(6/8)

simplify

- (\frac{2}{8}) lo g_{2} (\frac{2}{8}) - (\frac{6}{8}) lo g_{2} (\frac{6}{8})

\frac{1}{2} - \frac{3}{4} lo g_{2} (\frac{3}{4})

Decimal Notation

0.81127 \dots

Solution steps

- (\frac{2}{8}) lo g_{2} (\frac{2}{8}) - (\frac{6}{8}) lo g_{2} (\frac{6}{8})

- (\frac{2}{8}) lo g_{2} (\frac{2}{8}) - (\frac{6}{8}) lo g_{2} (\frac{6}{8}) = - \frac{2}{8} lo g_{2} (\frac{2}{8}) - \frac{6}{8} lo g_{2} (\frac{6}{8})

= - \frac{2}{8} lo g_{2} (\frac{2}{8}) - \frac{6}{8} lo g_{2} (\frac{6}{8})

- \frac{2}{8} lo g_{2} (\frac{2}{8}) = \frac{1}{2}

\frac{6}{8} lo g_{2} (\frac{6}{8}) = \frac{3}{4} lo g_{2} (\frac{3}{4})

= \frac{1}{2} - \frac{3}{4} lo g_{2} (\frac{3}{4})

lo g_{2} (15) - lo g_{2} (3)

lo g_{10} (\frac{y ^{7}}{x})

lo g_{10} (\frac{x ^{3}}{z y ^{4}})

lo g_{10} (30) + lo g_{10} (\frac{1}{10})

ln (14 x y)

What is simplify-(2/8)log_{2}(2/8)-(6/8)log_{2}(6/8) ?
The solution to simplify-(2/8)log_{2}(2/8)-(6/8)log_{2}(6/8) is 1/2-3/4 log_{2}(3/4)