Depending on your application, also your purpose, you want to direct the log to fixed log path. So, if you are using rsyslog as a syslog service on Ubuntu, please follow this article.
I am using trigger to do this.
Go to log path
root@sta-tn:/etc/rsyslog.d#
then write a sub-rsyslog configuration.
root@sta-tn:/etc/rsyslog.d# vim 10-sta.conf
if $programname == 'STA' then {
/var/log/sta.log ...