0\\x>0\end{cases}\Rightarrow\begin{cases}x<6\\x>0\end{cases}\Rightarrow x\in(0;\;6)\\\log_2(x(6-x))=\log_28\\6x-x^2=8\\x^2-6x+8=0\\D=36-4\cdot8=4\\x_1=2,\;x_2=4" alt="\log_2(6-x)+\log_2x=3\\O.D.3.:\\\begin{cases}6-x>0\\x>0\end{cases}\Rightarrow\begin{cases}x<6\\x>0\end{cases}\Rightarrow x\in(0;\;6)\\\log_2(x(6-x))=\log_28\\6x-x^2=8\\x^2-6x+8=0\\D=36-4\cdot8=4\\x_1=2,\;x_2=4" align="absmiddle" class="latex-formula">