簡約 231.84357-224.62838-8.314ln(1/(5.2))

解

簡約

231.84357 - 224.62838 - 8.314 ln (\frac{1}{5.2})

8.314 ln (5.2) + 7.21519

十進法表記

20.92213 \dots

解答ステップ

231.84357 - 224.62838 - 8.314 ln (\frac{1}{5.2})

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}{5.2}) = ln (1) - ln (5.2)

= 231.84357 - 224.62838 - 8.314 (ln (1) - ln (5.2))

8.314 (ln (1) - ln (5.2)) = - 8.314 ln (5.2)

= 231.84357 - 224.62838 - (- 8.314 ln (5.2))

規則を適用

- (- a) = a

= 231.84357 - 224.62838 + 8.314 ln (5.2)

数を引く:

231.84357 - 224.62838 = 7.21519

= 8.314 ln (5.2) + 7.21519