展开 ln(\sqrt[3]{x+1})

解答

展开

ln (3 x + 1)

\frac{1}{3} ln (x + 1)

求解步骤

ln (3 x + 1)

改写为

= ln ((x + 1)^{\frac{1}{3}})

使用对数运算法则:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

假定

x \geq 0

= \frac{1}{3} ln (x + 1)

e x p an d \frac{3678 ( z + 7189 )}{( z - 1 ) ( z - 3680 )}

e x p an d 4 t (4 t^{3} - 36 t)

e x p an d x^{3} (4 e^{\frac{y ^{3}}{3}} y^{3} + e^{\frac{y ^{3}}{3}} y^{6})

e x p an d \frac{x ^{\frac{3}{4}} x ^{2} + 1}{( 3 x + 2 ) ^{5}}

e x p an d \frac{( x + 1 ) ^{2}}{( x + 2 ) ^{2} ( x - 1 )}