There are Mail servers, Web Servers, DNS Servers and Log Server.

According to question, log server is already configured. We have to configure the mail, web and dns server for log redirection.

In mail, web and dns server:

1.vi /etc/syslog.conf

mail.*@logserveraddress

2.service syslog restart

mail is the facility and * means the priority. It sends logs of mail services into log server.