Forwarding logs to Graylog or syslog server?

Hi: Our group would like to forward logs from our Macs in our integration/production environments to a central server. I haven't found any good documentation for this yet.

Can anyone point me to a way to forward to a Graylog or syslog-based server?

We're not against cobbling together an app or script using "log stream" to send the info ourselves, but that seems extreme for what I'd think is a very common use case.