0;\\ log^2_3 x=2+log_3 x;\\ log^2_3 x-log_3 x-2=0;\\ (log_3 x-2)(log_3 x+1)=0;\\ 1. log_3 x=2;\\ x_1=3^2=9;\\ 2. log_3 x+1=0;\\ log_3 x=-1;\\ x_2=3^{-1}=\frac{1}{3}" alt="x^{log_3 x}=9x;\\ x>0;\\ log^2_3 x=2+log_3 x;\\ log^2_3 x-log_3 x-2=0;\\ (log_3 x-2)(log_3 x+1)=0;\\ 1. log_3 x=2;\\ x_1=3^2=9;\\ 2. log_3 x+1=0;\\ log_3 x=-1;\\ x_2=3^{-1}=\frac{1}{3}" align="absmiddle" class="latex-formula">