Выражение с логарифмом

$\frac{log_{5}30}{log_{150}5} - \frac{log_{5}750}{log_{6}5} = \\\\ \frac{log_{5}30*log_{6}5-log_{5}750*log_{150}5}{log_{150}5*log_{6}5} = \\\\ \frac{(log_{5}6+1)\frac{1}{log_{5}6}-(log_{5}150+1)\frac{1}{log_{5}150}}{\frac{1}{log_{5}150*log_{5}6}}=\\\\ (log_{6}5-log_{150}5)(log_{5}150*log_{5}6)=(\frac{1}{log_{5}6} - \frac{1}{log_{5}150})(log_{5}150*log_{5}6)=\\\\ \frac{log_{5}150-log_{5}6}{log_{5}6*log_{5}150}*log_{5}150*log_{5}6=\\\\ log_{5}\frac{150}{6}=log_{5}25=2$