用户:Renamed user e956b09090b6669f530ac62030e6dc8ef6a28943/游乐场

$\log_{a} \frac{x y}{2} = \log_{a} x y - \log_{a} 2$

$\log_{a} x^{3} y^{5} = \log_{a} x^{3} + \log_{a} y^{5}$

$\log_{a} (\frac{\sqrt x}{y z}) = \log_{a} x^{\frac{1}{2}} - \log_{a} y - \log_{a} z$

$\log_{a} (\frac{x^{2} \sqrt y}{\sqrt[3]{z}}) = \log_{a} x^{2} + \log_{a} y^{\frac{1}{2}} - \log_{a} \sqrt[3]{z}$