Nothing was created. This was after a fresh install and first log in. I tried it on localhost on work PC and same issue yet when I installed at home it worked w/o issue (both using XAMPP as hosts w/ PHP 7.1).
Going to wait until ISP updates server to PHP 7 and see if I still have issues.
What you could do also is look at the database and look at the ajxp_log table and screen/copy the stack if possible, try to reproduce the issue and then go to the database.
edit:
by the way you can also change how the log is handled
go to Application Parameters > --Loggers and you have a menu like this