簡約 3/4log_{2}(3/4)+1/4log_{2}(1/4)

解

簡約

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

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

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

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

\frac{1}{4} (- 2) = - \frac{1}{2}

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