化简-5/4 ln((0.05)/(0.9))

解答

化简

- \frac{5}{4} ln (\frac{0.05}{0.9})

- \frac{5}{4} (ln (0.05) - ln (0.9))

十进制

3.61296 \dots

求解步骤

- \frac{5}{4} ln (\frac{0.05}{0.9})

使用对数计算法则:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{0.05}{0.9}) = ln (0.05) - ln (0.9)

= - \frac{5}{4} (ln (0.05) - ln (0.9))

= - \frac{5}{4} (ln (0.05) - ln (0.9))

s im pl i f y 9 lo g_{6} (x) + 18 lo g_{6} (y)

e x p an d lo g_{e} (\frac{( a ^{m} \cdot b ^{n} )}{c})

s im pl i f y ln (\frac{x + y}{2}) \cdot 2

s im pl i f y (ln (90) - ln (95)) \cdot 100

s im pl i f y 0.026 ln (0.135 \cdot 1 0^{16})