簡約 0.77-(8.134298)/(196500)*ln(1/4)

解

簡約

0.77 - \frac{8.134 \cdot 298}{1 \cdot 96500} \cdot ln (\frac{1}{4})

0.77 + \frac{4847.864}{96500} ln (2)

十進法表記

0.80482 \dots

解答ステップ

0.77 - \frac{8.134 \cdot 298}{1 \cdot 96500} ln (\frac{1}{4})

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}{4}) = ln (1) - ln (4)

= 0.77 - \frac{298 \cdot 8.134}{1 \cdot 96500} (ln (1) - ln (4))

\frac{8.134 \cdot 298}{1 \cdot 96500} (ln (1) - ln (4)) = - \frac{4847.864}{96500} ln (2)

= 0.77 - (- \frac{4847.864}{96500} ln (2))

規則を適用

- (- a) = a

= 0.77 + ln (2) \frac{4847.864}{96500}