I was answering this question from GP:
> Unfortunately it appears openssh doesn't even have an option to create such a logfile!! Why not??
The answer is because in Linux systems the logging logistics are handled at the system level, just like starting and running openssh itself. The answer to "why not" is because that's the logging system's job, not openssh's.
rsyslogd is one simple and direct way to distribute logs to remote machines.