Помогите решить примеры: a) log√2 1/4 б) log√3 1/9 в) log√3 18-log3 4 г) log√2 12-log2 9

1) [latex]log_{\sqrt{2}}\frac{1}{4} = log_{2^{ \frac{1}{2} }}2^{-2}=-2*2*log_{2}2=-2*2*1=-4[/latex] 2) [latex]log_{ \sqrt{3} } \frac{1}{9} = log_{3^{ \frac{1}{2} }}3^{-2}=-2*2*log_{3}3=-2*2*1=-4[/latex] 3) [latex]log_{ \sqrt{3} }18-log_{3}4=2log_{3}18-log_{3}4=log_{3}18^{2}-log_{3}4=[/latex] [latex]=log_{3}324-log_{3}4=324:4=81[/latex] 4) [latex]log_{ \sqrt{2} }12-log_{2}9=2log_{2}12-log_{2}9=log_{2}12^{2}-log_{2}9=[/latex] [latex]=log_{2}144-log_{2}9=144:9=16[/latex]