0,\; \; t^2-12t+27=0\\\\D/4=36-27=9\\\\t_1=6-3=3,\; \; t_2=6+3=9\\\\3^{x}=3\; \; \to \; x=1\\\\3^{x}=9,\; \; 3^{x}=3^2\; \; \to \; \; x=2" alt="3^{2x}-12\cdot 3^{x}+27=0\\\\t=3^{x}>0,\; \; t^2-12t+27=0\\\\D/4=36-27=9\\\\t_1=6-3=3,\; \; t_2=6+3=9\\\\3^{x}=3\; \; \to \; x=1\\\\3^{x}=9,\; \; 3^{x}=3^2\; \; \to \; \; x=2" align="absmiddle" class="latex-formula">