Cron log monitoring involves checking the logs where cron jobs write their execution details. When a cron job runs, the cron daemon records the event in log files such as /var/log/cron or /var/log/syslog depending on the system. Users can run commands like 'sudo tail -n 5 /var/log/cron' to see the last few cron log entries, or 'sudo grep CRON /var/log/syslog' to filter cron-related lines in the system log. On systems using systemd, 'journalctl -u cron.service --since "1 hour ago"' shows recent cron service logs. By reviewing these logs, users can monitor if cron jobs ran successfully or if there were errors. If no output appears, it may mean no recent cron jobs ran or logs are stored differently. This step-by-step approach helps users visually track cron job activity through log files.