Better Luck Next Time (2) - S1-E20
Continuity mistake: While Batman is increasing his communicator's audio modulation so as to incapacitate the tiger, Batman is wearing Bat Ear Plugs to protect his hearing. As Batman turns his head in the closeup, we're able to see that the Bat Ear Plug has vanished from his right ear, then it reappears in its proper place. (00:04:55)
Answer: There wasn't one singular city used. It was shot in and around various locations in California, plus on a lot of sets and backlots. Ex. Some scenes were shot in LA, some in Pasadena, some in Santa Barbara, etc.
TedStixon