0\\\\y'=2(x-3)-\frac{8}{x}=0\\\\\frac{2x^2-6x-8}{x}=0\, |:2\\\\x^2-3x-4=0\\\\x_1=-1,\; x_2=4,\; x\ne 0\\\\---(-1)+++(0)---(4)+++\\\\x_{min}=4,\; \; y_{min}=y(4)=1-8ln4=1-16ln2" alt="y=(x-3)^2-8lnx,\; \; ODZ:\; x>0\\\\y'=2(x-3)-\frac{8}{x}=0\\\\\frac{2x^2-6x-8}{x}=0\, |:2\\\\x^2-3x-4=0\\\\x_1=-1,\; x_2=4,\; x\ne 0\\\\---(-1)+++(0)---(4)+++\\\\x_{min}=4,\; \; y_{min}=y(4)=1-8ln4=1-16ln2" align="absmiddle" class="latex-formula">