0} \atop {x-11>0}} \right. \; \; \to \; \; \underline {\; x>11\; }\\\\log_6\Big((x-2)(x-11)\Big)=log_66^2\\\\(x-2)(x-11)=6^2\\\\x^2-13x+22=36\\\\x^2-13x-14=0\\\\x_1=-1\; ,\; x_2=14\; \; \; (teorema\; Vieta)\\\\x_1=-1<11\; ,\; \; x_2=14>11\; \; \; \Rightarrow \; \; \; \; Otvet:\; \; \underline {\; x=14\; }." alt="log_6(x-2)+log_6(x-11)=2\; \; ,\; \; \; \; ODZ:\; \left \{ {{x-2>0} \atop {x-11>0}} \right. \; \; \to \; \; \underline {\; x>11\; }\\\\log_6\Big((x-2)(x-11)\Big)=log_66^2\\\\(x-2)(x-11)=6^2\\\\x^2-13x+22=36\\\\x^2-13x-14=0\\\\x_1=-1\; ,\; x_2=14\; \; \; (teorema\; Vieta)\\\\x_1=-1<11\; ,\; \; x_2=14>11\; \; \; \Rightarrow \; \; \; \; Otvet:\; \; \underline {\; x=14\; }." align="absmiddle" class="latex-formula">