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

解

簡約

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

\frac{lo g _{2} ( \frac{8916100448256}{2573571875} )}{12}

十進法表記

0.97986 \dots

解答ステップ

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

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

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

7 lo g_{2} (\frac{12}{7}) + 5 lo g_{2} (\frac{12}{5}) = lo g_{2} (\frac{8916100448256}{2573571875})

= \frac{lo g _{2} ( \frac{8916100448256}{2573571875} )}{12}