lnx+ln(x-1)=0
ln[x(x-1)]=0,∵lnA+lnB=ln(AB)
x(x-1)=e^0
x^2-x=1
x^2-x-1=0
x=【-(-1)±√[(-1)^2-4(-1)]】/2
=(1±√5)/2
x=(1+√5)/2 或x=(1-√5)/2,∵lnx,其中x>0,∵(1-√5)/2