簡約 ln(2.2)+(ln(4.3))+ln(6.15)

解

簡約

ln (2.2) + (ln (4.3)) + ln (6.15)

ln (58.179)

十進法表記

4.06352 \dots

解答ステップ

ln (2.2) + (ln (4.3)) + ln (6.15)

対数の規則を適用する:

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

ln (2.2) + ln (6.15) = ln (2.2 \cdot 6.15)

= ln (2.2 \cdot 6.15) + + ln (4.3)

数を乗じる:

2.2 \cdot 6.15 = 13.53

= ln (13.53) + + ln (4.3)

対数の規則を適用する:

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

ln (13.53) + ln (4.3) = ln (4.3 \cdot 13.53)

= ln (4.3 \cdot 13.53)

数を乗じる:

13.53 \cdot 4.3 = 58.179

= ln (58.179)