Question 298804
ln(x)=ln(2x-1)-ln(x-2)


ln(x)=ln[(2x-1)/(x-2)]


x=(2x-1)/(x-2)


x(x-2)=2x-1


x^2-2x=2x-1


x^2-2x-2x+1=0


x^2-4x+1=0


Answer: x = 2+sqrt(3) or x = 2-sqrt(3)