(lgx+lg2)(lgx+lg3)=0,所以lgx=-lg2或lgx=-lg3,所以x=1/2或x=1/3,所以x1x2=1/6
(Lgx)^2+(Lg2+Lg3)*Lgx+Lg2*Lg3=0;Lgx1+Lgx2=(Lg2+Log3)/2;Lgx1+Lgx2=Lg(x1*x2)=Lg(2*3)/2;x1*x2=sqrt(6);