I am working on a problem and am stuck. I feel like my problem could be due to a lack of knowledge in arithmetic but I am not certain. The fact that there is an x^2 and an x is really 'throwing me off'.

The problem is:

Solve the equation for x.

ln(x) + ln(x - 1) = 1

The steps I took before I became stuck were as follows:

ln(x) + ln(x - 1) = 1

ln(x^2 - x) = 1 <==Log rule of addition

x^2 - x = e^1 <==Natural log simplifying

x(x - 1) = e^1 <==Factored

Please help. Thanks!