化简 (60)/(sqrt(2.5))ln((0.116)/(0.039))

解答

化简

\frac{60}{2.5} ln (\frac{0.116}{0.039})

\frac{60 2.5}{2.5} (ln (0.116) - ln (0.039))

十进制

41.36367 \dots

求解步骤

\frac{60}{2.5} ln (\frac{0.116}{0.039})

使用对数计算法则:

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

ln (\frac{0.116}{0.039}) = ln (0.116) - ln (0.039)

= \frac{60}{2.5} (ln (0.116) - ln (0.039))

\frac{60}{2.5} = \frac{60 2.5}{2.5}

= \frac{60 2.5}{2.5} (ln (0.116) - ln (0.039))

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