合并 (81^{ln(x)})/(4ln(3))+C

解答

合并

\frac{8 1 ^{l n (x)}}{4 ln ( 3 )} + C

\frac{8 1 ^{l n (x)}}{ln ( 81 )} + C

求解步骤

\frac{8 1 ^{l n (x)}}{4 ln ( 3 )} + C

使用对数计算法则:

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

4 ln (3) = ln (3^{4})

= \frac{8 1 ^{l n (x)}}{ln ( 3 ^{4} )} + C

3^{4} = 81

= \frac{8 1 ^{l n (x)}}{ln ( 81 )} + C

s im pl i f y 2 lo g_{a} (7 x^{3}) - \frac{1}{6} lo g_{a} (9 x + 5)

s im pl i f y ln (\frac{v ^{2}}{2 α e ^{- β s}})

e x p an d lo g_{10} (\frac{3 x}{y ^{3}})

s im pl i f y \frac{1}{- 0.20698} ln (\frac{28}{118})

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