展开 1/6 (8ln(2)+15/2 ln(3))

解答

展开

\frac{1}{6} (8 ln (2) + \frac{15}{2} ln (3))

\frac{4}{3} ln (2) + \frac{5 ln ( 3 )}{4}

十进制

2.29746 \dots

求解步骤

\frac{1}{6} (8 ln (2) + \frac{15}{2} ln (3))

使用分配律:

a (b + c) = ab + a c

a = \frac{1}{6}, b = 8 ln (2), c = \frac{15}{2} ln (3)

= \frac{1}{6} \cdot 8 ln (2) + \frac{1}{6} \cdot \frac{15}{2} ln (3)

= 8 \cdot \frac{1}{6} ln (2) + \frac{1}{6} \cdot \frac{15}{2} ln (3)

化简

8 \cdot \frac{1}{6} ln (2) + \frac{1}{6} \cdot \frac{15}{2} ln (3) : \frac{4}{3} ln (2) + \frac{5 ln ( 3 )}{4}

= \frac{4}{3} ln (2) + \frac{5 ln ( 3 )}{4}

e x p an d (x^{2} + 1) cos (x)

e x p an d lo g_{10} (2) (7 x + 8) 3

s im pl i f y 3 (1 + 2)

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

e x p an d 2 27 5^{\frac{2}{3}} + 25 (1 + 3 \frac{121}{25})