簡約 1/(0.000003)ln((25-15)/(75-15))

解

簡約

\frac{1}{0.000003} ln (\frac{25 - 15}{75 - 15})

\frac{ln ( 10 ) - ln ( 60 )}{0.000003}

十進法表記

- 597253.15640 \dots

解答ステップ

\frac{1}{0.000003} ln (\frac{25 - 15}{75 - 15})

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{25 - 15}{75 - 15}) = ln (25 - 15) - ln (75 - 15)

= \frac{1}{0.000003} (ln (25 - 15) - ln (75 - 15))

分数を乗じる:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ( ln ( 25 - 15 ) - ln ( 75 - 15 ) )}{0.000003}

1 \cdot (ln (25 - 15) - ln (75 - 15)) = ln (10) - ln (60)

= \frac{ln ( 10 ) - ln ( 60 )}{0.000003}