0 \\ lg(x^{lgx-2})=lg(1000) \\ (lgx-2)lgx=3 \\ lgx=t \\ (t-2)t=3 \\ t^2-2t-3=0 \\ D=4+4*3=16=4^2 \\ t_1=3=>lgx=3=>x_1=10^3=1000 \\ t_2=-1=>lgx=-1=>x_2=10^{-1}=0,1" alt="x^{lgx-2}=1000 \\ ODZ: \ x>0 \\ lg(x^{lgx-2})=lg(1000) \\ (lgx-2)lgx=3 \\ lgx=t \\ (t-2)t=3 \\ t^2-2t-3=0 \\ D=4+4*3=16=4^2 \\ t_1=3=>lgx=3=>x_1=10^3=1000 \\ t_2=-1=>lgx=-1=>x_2=10^{-1}=0,1" align="absmiddle" class="latex-formula">
