簡約 ln(((\frac{0.302)/(0.294))}{9.9})

解

簡約

ln (\frac{( \frac{0.302}{0.294} )}{9.9})

ln (0.302) - ln (0.294) - ln (9.9)

十進法表記

- 2.26568 \dots

解答ステップ

ln (\frac{( \frac{0.302}{0.294} )}{9.9})

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{( \frac{0.302}{0.294} )}{9.9}) = ln ((\frac{0.302}{0.294})) - ln (9.9)

= ln (\frac{0.302}{0.294}) - ln (9.9)

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{0.302}{0.294}) = ln (0.302) - ln (0.294)

= ln (0.302) - ln (0.294) - ln (9.9)