簡約-6/8 log_{2}(6/8)-2/8 log_{2}(2/8)

解

簡約

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

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

十進法表記

0.81127 \dots

解答ステップ

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

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

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

規則を適用する:

a - (- b) = a + b

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

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