簡約 (ln(66)*ln(780))/(ln(117.34)-ln(780))

解

簡約

\frac{ln ( 66 ) \cdot ln ( 780 )}{ln ( 117.34 ) - ln ( 780 )}

\frac{ln ( 66 ) ln ( 780 )}{ln ( 0.15043 \dots )}

十進法表記

- 14.72910 \dots

解答ステップ

\frac{ln ( 66 ) ln ( 780 )}{ln ( 117.34 ) - ln ( 780 )}

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 (117.34) - ln (780) = ln (\frac{117.34}{780})

= \frac{ln ( 66 ) ln ( 780 )}{ln ( \frac{117.34}{780} )}

数を割る:

\frac{117.34}{780} = 0.15043 \dots

= \frac{ln ( 66 ) ln ( 780 )}{ln ( 0.15043 \dots )}