化简 6/5 ln| y/x-1|+ln|x|

解答

化简

\frac{6}{5} ln \frac{y}{x} - 1 + ln ∣ x ∣

ln (\frac{y}{x} - 1^{\frac{6}{5}} ∣ x ∣)

求解步骤

\frac{6}{5} ln \frac{y}{x} - 1 + ln ∣ x ∣

使用对数计算法则:

a lo g_{c} (b) = lo g_{c} (b^{a})

\frac{6}{5} ln \frac{y}{x} - 1 = ln (\frac{y}{x} - 1^{\frac{6}{5}})

= ln (\frac{y}{x} - 1^{\frac{6}{5}}) + ln ∣ x ∣

使用对数计算法则:

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

ln (\frac{y}{x} - 1^{\frac{6}{5}}) + ln ∣ x ∣ = ln (∣ x ∣ \frac{y}{x} - 1^{\frac{6}{5}})

= ln (\frac{y}{x} - 1^{\frac{6}{5}} ∣ x ∣)

s im pl i f y ln (1 \cdot \frac{46.7092}{48.20979})

e x p an d \frac{ln ( x ^{2} ) sin ^{3} ( x )}{x ^{2} + 1}

s im pl i f y ln (a + a^{2} + 4) - C ln (a + 2) - ln (2) + C ln (2)

s im pl i f y ln (1 \cdot 1 0^{7})

s im pl i f y 2 lo g_{6} (z) - \frac{1}{4} lo g_{6} (w) + 6 lo g_{6} (y)