0} \atop {x+6>0}}\right. \; \to x>2\\\\log_3(x-2)=log_33^2-log_3(x+6)\\\\log_3(x-2)=log_3(9x+54)\\\\x-2=9x+54\\\\8x=56\\\\x=7>2\\\\Otvet:\; \; x=7\in [\; 4,8)\; ." alt="log_3(x-2)=2-log_3(x+6)\; \; ,\; \; \; ODZ:\; \left \{ {{x-2>0} \atop {x+6>0}}\right. \; \to x>2\\\\log_3(x-2)=log_33^2-log_3(x+6)\\\\log_3(x-2)=log_3(9x+54)\\\\x-2=9x+54\\\\8x=56\\\\x=7>2\\\\Otvet:\; \; x=7\in [\; 4,8)\; ." align="absmiddle" class="latex-formula">