0\\ \\ lgx^{lgx}=lg(100x)\\ \\ lgx*lgx=lg100+lgx\\ \\ (lgx)^{2} -lgx-2=0\\ \\ po\ Bietta\\ \\ (lgx-2)(lgx+1)=0\\ \\1) lgx=2;x=10^2=100\\ \\ 2)lgx=-1;x=10^{-1}=0.1\\ \\ OTVET:{0.1;100}" alt="x^{lgx}=100x;x>0\\ \\ lgx^{lgx}=lg(100x)\\ \\ lgx*lgx=lg100+lgx\\ \\ (lgx)^{2} -lgx-2=0\\ \\ po\ Bietta\\ \\ (lgx-2)(lgx+1)=0\\ \\1) lgx=2;x=10^2=100\\ \\ 2)lgx=-1;x=10^{-1}=0.1\\ \\ OTVET:{0.1;100}" align="absmiddle" class="latex-formula">