簡約 ln((26)/(7/(0.05)))

解

簡約

ln (\frac{26}{\frac{7}{0.05}})

ln (26) - ln (7) + ln (0.05)

十進法表記

- 1.68354 \dots

解答ステップ

ln (\frac{26}{\frac{7}{0.05}})

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{26}{\frac{7}{0.05}}) = ln (26) - ln (\frac{7}{0.05})

= ln (26) - ln (\frac{7}{0.05})

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{7}{0.05}) = ln (7) - ln (0.05)

= ln (26) - (ln (7) - ln (0.05))

- (ln (7) - ln (0.05)) : - ln (7) + ln (0.05)

= ln (26) - ln (7) + ln (0.05)