簡約 0.0296*46e^{((ln(263)-ln(46))/(30))2}

解

簡約

0.0296 \cdot 46 e^{(\frac{l n ( 263 ) - l n ( 46 )}{30}) 2}

1.3616 e^{\frac{l n ( \frac{263}{46} )}{15}}

十進法表記

1.52942 \dots

解答ステップ

0.0296 \cdot 46 e^{(\frac{l n ( 263 ) - l n ( 46 )}{30}) \cdot 2}

対数の規則を適用する:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (263) - ln (46) = ln (\frac{263}{46})

= 0.0296 \cdot 46 e^{\frac{l n ( \frac{263}{46} )}{30} \cdot 2}

e^{\frac{l n ( \frac{263}{46} )}{30} \cdot 2} = e^{\frac{l n ( \frac{263}{46} )}{15}}

= 46 \cdot 0.0296 e^{\frac{l n ( \frac{263}{46} )}{15}}

数を乗じる:

0.0296 \cdot 46 = 1.3616

= 1.3616 e^{\frac{l n ( \frac{263}{46} )}{15}}