簡約 19/2 log_{2}(7/5)-19/2

解

簡約

\frac{19}{2} lo g_{2} (\frac{7}{5}) - \frac{19}{2}

\frac{19}{2} lo g_{2} (7) - \frac{19}{2} lo g_{2} (5) - \frac{19}{2}

十進法表記

- 4.88844 \dots

解答ステップ

\frac{19}{2} lo g_{2} (\frac{7}{5}) - \frac{19}{2}

対数の規則を適用する:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

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

= \frac{19}{2} (lo g_{2} (7) - lo g_{2} (5)) - \frac{19}{2}

拡張

\frac{19}{2} (lo g_{2} (7) - lo g_{2} (5)) : \frac{19}{2} lo g_{2} (7) - \frac{19}{2} lo g_{2} (5)

= \frac{19}{2} lo g_{2} (7) - \frac{19}{2} lo g_{2} (5) - \frac{19}{2}