0\\x-2>0\end{cases}\Rightarrow\begin{cases}x>-3\\x>2\end{cases}\Rightarrow x>2\\\\\lg(x+3)-\lg(x-2)^2-\lg(0,4)=0\\\\\lg\left(\frac{x+3}{0,4(x-2)^2}\right)=0\\\\\frac{x+3}{0,4(x^2-4x+4)}=10^0\\\\\frac{x+3}{0,4x^2-1,6x+1,6}=1\\\\x+3=0,4x^2-1,6x+1,6\\0,4x^2-2,6x-1,4=0\;\;\;\;\times10\\4x^2-26x-14=0\\D=676-4\cdot4\cdot(-14)=676+224=900\\x_{1,2}=\frac{26\pm30}8\\x_2=-\frac12\;-\;He\;nogx.\;no\;OD3.\\x_2=7\\\\OTBET:\;7." alt="\lg(x+3)-2\lg(x-2)=\lg(0,4)\\OD3:\\\begin{cases}x+3>0\\x-2>0\end{cases}\Rightarrow\begin{cases}x>-3\\x>2\end{cases}\Rightarrow x>2\\\\\lg(x+3)-\lg(x-2)^2-\lg(0,4)=0\\\\\lg\left(\frac{x+3}{0,4(x-2)^2}\right)=0\\\\\frac{x+3}{0,4(x^2-4x+4)}=10^0\\\\\frac{x+3}{0,4x^2-1,6x+1,6}=1\\\\x+3=0,4x^2-1,6x+1,6\\0,4x^2-2,6x-1,4=0\;\;\;\;\times10\\4x^2-26x-14=0\\D=676-4\cdot4\cdot(-14)=676+224=900\\x_{1,2}=\frac{26\pm30}8\\x_2=-\frac12\;-\;He\;nogx.\;no\;OD3.\\x_2=7\\\\OTBET:\;7." align="absmiddle" class="latex-formula">