簡約-7/12 log_{2}(7/12)-5/12 log_{2}(5/12)

解

簡約

- \frac{7}{12} lo g_{2} (\frac{7}{12}) - \frac{5}{12} lo g_{2} (\frac{5}{12})

\frac{- lo g _{2} ( 2573571875 ) + 24 + 12 lo g _{2} ( 3 )}{12}

十進法表記

0.97986 \dots

解答ステップ

- \frac{7}{12} lo g_{2} (\frac{7}{12}) - \frac{5}{12} lo g_{2} (\frac{5}{12})

- \frac{7}{12} lo g_{2} (\frac{7}{12}) - \frac{5}{12} lo g_{2} (\frac{5}{12}) = \frac{- 7 lo g _{2} ( \frac{7}{12} ) - 5 lo g _{2} ( \frac{5}{12} )}{12}

= \frac{- 7 lo g _{2} ( \frac{7}{12} ) - 5 lo g _{2} ( \frac{5}{12} )}{12}

- 7 lo g_{2} (\frac{7}{12}) - 5 lo g_{2} (\frac{5}{12}) = - lo g_{2} (2573571875) + 24 + 12 lo g_{2} (3)

= \frac{- lo g _{2} ( 2573571875 ) + 24 + 12 lo g _{2} ( 3 )}{12}