簡約 1/(2*0.05^2)log_{e}(2/(0.01))

解

簡約

\frac{1}{2 \cdot 0.0 5 ^{2}} lo g_{e} (\frac{2}{0.01})

1059.66347 \dots

解答ステップ

\frac{1}{2 \cdot 0.0 5 ^{2}} lo g_{e} (\frac{2}{0.01})

簡素化

lo g_{e} (\frac{2}{0.01}) : ln (\frac{2}{0.01})

= \frac{1}{2 \cdot 0.0 5 ^{2}} ln (\frac{2}{0.01})

\frac{1}{2 \cdot 0.0 5 ^{2}} = 200

= 200 ln (\frac{2}{0.01})

数を割る:

\frac{2}{0.01} = 200

= 200 ln (200)

簡素化

ln (200) : 5.29831 \dots

= 200 \cdot 5.29831 \dots

数を乗じる:

200 \cdot 5.29831 \dots = 1059.66347 \dots

= 1059.66347 \dots