Today I stumbled on a series of articles detailing the use of the rsyslog daemon.  It looks applicable to many Unix / Linux systems, so here I copy the links:

https://www.linux.com/learn/remote-logging-syslog-part-1-basics

https://www.linux.com/learn/sysadmin/remote-logging-syslog-part-2-main-config-file

https://www.linux.com/learn/sysadmin/remote-logging-syslog-part-3-logfile-rules

https://www.linux.com/learn/sysadmin/remote-logging-syslog-part-4-log-rotation

All 4 articles were written by Chris Binnie at Linux.com in November and December of 2016.