I am using nginx, but with NCSA combined format, so think it should match. I believe the 'auth' line in Apache can also be formatted as an email address.
See this example, for instance.
10.0.0.1 - [email protected] [07/Apr/2016:18:42:24 +0000] "GET /bar/foo/users/1/username%40example.com/authenticate?token=blargh&client_id=15 HTTP/1.1" 400 75 "" "Mozilla/5.0 (iPad; CPU OS 9_3_1 like Mac OS X) AppleWebKit/601.1.46 (KHTML, like Gecko) Version/9.0 Mobile/13E238 Safari/601.1"