簡約 ln((1980-176)/(894-176))*1/(3.058)

解

簡約

ln (\frac{1980 - 176}{894 - 176}) \cdot \frac{1}{3.058}

\frac{ln ( 1804 ) - ln ( 718 )}{3.058}

十進法表記

0.30127 \dots

解答ステップ

ln (\frac{1980 - 176}{894 - 176}) \frac{1}{3.058}

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{1980 - 176}{894 - 176}) = ln (1980 - 176) - ln (894 - 176)

= \frac{1}{3.058} (ln (1980 - 176) - ln (894 - 176))

分数を乗じる:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ( ln ( 1980 - 176 ) - ln ( 894 - 176 ) )}{3.058}

1 \cdot (ln (1980 - 176) - ln (894 - 176)) = ln (1804) - ln (718)

= \frac{ln ( 1804 ) - ln ( 718 )}{3.058}