Using Logger to Create a Root-Owned Log File

I have an application which I want to write log entries to its own
separate log file in the log directory. Of course the log directory
is owned by root and has permissions 755. I was expecting that Logger
would operate setuid root or something similar so that it would be
able to write log entries to root-owned log directories. I find that
is not the case. Any ideas how I can get Logger to write to the root-
owned log directory?

Thanks for any input.

          ... doug