First thing first, did you go to BuddyAuth site and kill your sessions if they are still logged in. Secondly the logs are kept in a folder where your honorbuddy is placed in. The folder is called "Logs" theres no reason to have to be logged in to post a log.
But more than likely a log isnt needed it sounds like the normal "stuck logged in" which is fixed by killing the session on BuddyAuth