0 \\ t^2-t-6=0 \\ D=25 \\ t_1=-2<0 \\ t_2=3 \\ log_3x=3 \\ x=3^3=27" alt="log_216=log_22^2=2 \\ log_{ \frac{1}{3} }9=-log_33^2=-2 \\ log_{ \sqrt{2} }4=log_2^{ \frac{1}{2} }2^2=2*2log_22=4*1=4 \\ \\ log_3x=-4 \\ x=3^{-4}= \frac{1}{81} \\ \\ lgx=-1 \\ x=10^{-1}=0.1 \\ \\ log_3x=t>0 \\ t^2-t-6=0 \\ D=25 \\ t_1=-2<0 \\ t_2=3 \\ log_3x=3 \\ x=3^3=27" align="absmiddle" class="latex-formula">