Here is an example of how to use the logback.core.net.SyslogAppenderBase class to send a log event to a syslog server:

import ch.qos.logback.core.net.SyslogAppenderBase;
import ch.qos.logback.classic.LoggerContext;
import org.slf4j.Logger;
import org.slf4j.LoggerFactory;

public class Main {
    public static void main(String[] args) {
        LoggerContext context = (LoggerContext) LoggerFactory.getILoggerFactory();

        SyslogAppenderBase syslogAppender = new SyslogAppenderBase();
        syslogAppender.setContext(context);
        syslogAppender.setSyslogHost("syslog.example.com");
        syslogAppender.setFacility("LOCAL0");
        syslogAppender.setPort(514);
        syslogAppender.start();

        Logger logger = LoggerFactory.getLogger("Main");
        logger.info("This is an info message");
        
        syslogAppender.stop();
    }
}

In this example, an instance of SyslogAppenderBase is created and configured to send a log event to a syslog server at "syslog.example.com" on port 514 with a facility of "LOCAL0".

It starts the appender by calling start method and logs an info message. Then the appender is stopped.

It's important to note that the syslog protocol uses a specific message format that includes a priority level, which is based on the facility and level of the log event. The SyslogAppenderBase class includes methods for setting the facility and the protocol to use when sending syslog messages (UDP or TCP)

Keep in mind that you will need a syslog server to be configured and running. This example uses the syslog protocol over UDP, if you want to use TCP you should set the protocol accordingly.