簡約 (2.3912)/(15010800)ln(70/30)

解

簡約

\frac{2.3 \cdot 9 \cdot 12}{150 \cdot 10800} \cdot ln (\frac{70}{30})

\frac{248.4}{1620000} (ln (70) - ln (30))

十進法表記

0.00012 \dots

解答ステップ

\frac{2.3 \cdot 9 \cdot 12}{150 \cdot 10800} ln (\frac{70}{30})

対数の規則を適用する:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{70}{30}) = ln (70) - ln (30)

= \frac{9 \cdot 12 \cdot 2.3}{150 \cdot 10800} (ln (70) - ln (30))

\frac{2.3 \cdot 9 \cdot 12}{150 \cdot 10800} = \frac{248.4}{1620000}

= \frac{248.4}{1620000} (ln (70) - ln (30))