It's a fascinating article and well worth a read. He also has a downloadable spreadsheet which contains his valuation model. Finally, he has added a video explaining his valuation methodology.
Disclosure: Prof. Damodaran was a teaching assistant for an economics course I took while I was an undergraduate at UCLA.
Damodaran's NYU page: http://pages.stern.nyu.edu/~adamodar/
Damodaran's blog: http://aswathdamodaran.blogspot.com/
Damodaran's blog post on Uber: http://aswathdamodaran.blogspot.com/2016/08/the-ride-sharing-business-is-bar.html
Link to a prior blog post on this topic: