簡約 ln(0.42)+ln(0.37)+ln(0.64)+ln(0.55)

解

簡約

ln (0.42) + ln (0.37) + ln (0.64) + ln (0.55)

ln (0.0547008)

十進法表記

- 2.90587 \dots

解答ステップ

ln (0.42) + ln (0.37) + ln (0.64) + ln (0.55)

対数の規則を適用する:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (0.42) + ln (0.37) = ln (0.42 \cdot 0.37)

= ln (0.42 \cdot 0.37) + ln (0.64) + ln (0.55)

数を乗じる:

0.42 \cdot 0.37 = 0.1554

= ln (0.1554) + ln (0.64) + ln (0.55)

対数の規則を適用する:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (0.1554) + ln (0.64) = ln (0.1554 \cdot 0.64)

= ln (0.1554 \cdot 0.64) + ln (0.55)

数を乗じる:

0.1554 \cdot 0.64 = 0.099456

= ln (0.099456) + ln (0.55)

対数の規則を適用する:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (0.099456) + ln (0.55) = ln (0.099456 \cdot 0.55)

= ln (0.099456 \cdot 0.55)

数を乗じる:

0.099456 \cdot 0.55 = 0.0547008

= ln (0.0547008)