0\\x-3>0\end{cases}=>x>3\\lg(x-1)^3-3lg(x-3)=8\\\frac{(x-1)^3}{(x-3)^3}=8\\\frac{x-1}{x-3}=2\\x-1=2x-6\\x=5" alt="OD3:\\\begin{cases}x-1>0\\x-3>0\end{cases}=>x>3\\lg(x-1)^3-3lg(x-3)=8\\\frac{(x-1)^3}{(x-3)^3}=8\\\frac{x-1}{x-3}=2\\x-1=2x-6\\x=5" align="absmiddle" class="latex-formula">