簡約 0.0296(46e^{((ln(263)-ln(46))/(30))*1})

解

簡約

0.0296 (46 e^{(\frac{l n ( 263 ) - l n ( 46 )}{30}) \cdot 1})

1.3616 e^{\frac{l n ( \frac{263}{46} )}{30}}

十進法表記

1.44307 \dots

解答ステップ

0.0296 (46 e^{(\frac{l n ( 263 ) - l n ( 46 )}{30}) \cdot 1})

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 1}

乗算:

\frac{ln ( \frac{263}{46} )}{30} \cdot 1 = \frac{ln ( \frac{263}{46} )}{30}

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

数を乗じる:

0.0296 \cdot 46 = 1.3616

= 1.3616 e^{\frac{l n ( \frac{263}{46} )}{30}}