展开 8(1/2 ln(2)-1/4)

解答

展开

8 (\frac{1}{2} ln (2) - \frac{1}{4})

4 ln (2) - 2

十进制

0.77258 \dots

求解步骤

8 (\frac{1}{2} ln (2) - \frac{1}{4})

使用分配律:

a (b - c) = ab - a c

a = 8, b = \frac{1}{2} ln (2), c = \frac{1}{4}

= 8 \cdot \frac{1}{2} ln (2) - 8 \cdot \frac{1}{4}

化简

8 \cdot \frac{1}{2} ln (2) - 8 \cdot \frac{1}{4} : 4 ln (2) - 2

= 4 ln (2) - 2

e x p an d (x - \frac{1}{3 x})^{12}

e x p an d \frac{10}{x ( x + 2 ) ( x + 4 )}

e x p an d lo g_{3} (4 x^{2} y^{3} z^{5})

e x p an d - 2 (x + 1 = - 2 x + 5)

s im pl i f y (17 lo g_{10} (2 n) + 19) (n^{3} + 2)