合并-(9ln(3/5))/(2pilf)

解答

合并

- \frac{9 ln ( \frac{3}{5} )}{2 π l f}

- \frac{ln ( \frac{19683}{1953125} )}{2 π l f}

求解步骤

- \frac{9 ln ( \frac{3}{5} )}{2 π l f}

使用对数计算法则:

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

9 ln (\frac{3}{5}) = ln ((\frac{3}{5})^{9})

= - \frac{ln ( ( \frac{3}{5} ) ^{9} )}{2 π l f}

(\frac{3}{5})^{9} = \frac{3 ^{9}}{5 ^{9}}

= - \frac{ln ( \frac{3 ^{9}}{5 ^{9}} )}{2 π l f}

\frac{3 ^{9}}{5 ^{9}} = \frac{19683}{1953125}

= - \frac{ln ( \frac{19683}{1953125} )}{2 π l f}

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