lg²(x-1)-lg(x-1)²-3=0lg²(x-1)-2lg(x-1)-3=0[lg(x-1)-3] [lg(x-1)+1]=0lg(x-1)-3=0 或 lg(x-1)+1=0lg(x-1)=3x-1=10³=1000x=1001或 lg(x-1)=-1x-1=0.1x=1.1经检验 x=1001 和 x=1.1是原方程的根...