簡約-1/(0.22)ln(1/150)

解

簡約

- \frac{1}{0.22} ln (\frac{1}{150})

\frac{1}{0.22} ln (150)

十進法表記

22.77561 \dots

解答ステップ

- \frac{1}{0.22} ln (\frac{1}{150})

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{1}{150}) = ln (1) - ln (150)

= - \frac{1}{0.22} (ln (1) - ln (150))

対数の規則を適用する:

lo g_{a} (1) = 0

= - \frac{1}{0.22} (- ln (150) + 0)

0 - ln (150) = - ln (150)

= - \frac{1}{0.22} (- ln (150))

規則を適用

- (- a) = a

= \frac{1}{0.22} ln (150)