簡約 2000ln((14000)/(14000-2100(1)))-9.8(1)

解

簡約

2000 ln (\frac{14000}{14000 - 2100 ( 1 )}) - 9.8 (1)

2000 (ln (14000) - ln (11900)) - 9.8

十進法表記

315.23785 \dots

解答ステップ

2000 ln (\frac{14000}{14000 - 2100 ( 1 )}) - 9.8 (1)

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{14000}{14000 - 2100 ( 1 )}) = ln (14000) - ln (14000 - 2100 (1))

= 2000 (ln (14000) - ln (14000 - 2100 \cdot 1)) - 1 \cdot 9.8

ln (14000 - 2100 \cdot 1) = ln (11900)

= 2000 (ln (14000) - ln (11900)) - 1 \cdot 9.8

数を乗じる:

9.8 \cdot 1 = 9.8

= 2000 (ln (14000) - ln (11900)) - 9.8