Uber is priced the way it is because rich financiers are subsidizing rides. If Uber were running a profitable business, the rides would be as expensive or more so than taxis. Another problem with taxis is they don't show up when you call them, and you don't know what it will cost until the trip is over.
With Uber/Lyft, I never have to worry about being stuck outside in the cold, drunk, waiting 60 minutes for a $30 taxi.