簡約 0.057-(0.0592)/2 ln(1/(sqrt(0.21)))

解

簡約

0.057 - \frac{0.0592}{2} ln (\frac{1}{0.21})

0.057 + \frac{0.0592}{4} ln (0.21)

十進法表記

0.03390 \dots

解答ステップ

0.057 - \frac{0.0592}{2} ln (\frac{1}{0.21})

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}{0.21}) = ln (1) - ln (0.21)

= 0.057 - \frac{0.0592}{2} (ln (1) - ln (0.21))

\frac{0.0592}{2} (ln (1) - ln (0.21)) = - \frac{0.0592}{4} ln (0.21)

= 0.057 - (- \frac{0.0592}{4} ln (0.21))

規則を適用

- (- a) = a

= 0.057 + ln (0.21) \frac{0.0592}{4}