簡約 231.473-233.13-8.314ln(1/(0.7))

解

簡約

231.473 - 233.13 - 8.314 ln (\frac{1}{0.7})

8.314 ln (0.7) - 1.657

十進法表記

- 4.62239 \dots

解答ステップ

231.473 - 233.13 - 8.314 ln (\frac{1}{0.7})

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}{0.7}) = ln (1) - ln (0.7)

= 231.473 - 233.13 - 8.314 (ln (1) - ln (0.7))

8.314 (ln (1) - ln (0.7)) = - 8.314 ln (0.7)

= 231.473 - 233.13 - (- 8.314 ln (0.7))

規則を適用

- (- a) = a

= 231.473 - 233.13 + 8.314 ln (0.7)

数を引く:

231.473 - 233.13 = - 1.657

= 8.314 ln (0.7) - 1.657