The event log is also stored in the root directory, visible from SPI. It is taken care of automatically.
Way more info than you wanted in these KBs:
https://kb.netapp.com/Advice_and_Troubleshooting/Data_Storage_Software/ONTAP_OS/The_'event_log_show'_command_displays_only_3_days_or_2048_events
https://kb.netapp.com/Advice_and_Troubleshooting/Data_Storage_Software/ONTAP_OS/Overview_of_ONTAP_Logs
https://kb.netapp.com/Advice_and_Troubleshooting/Data_Storage_Software/ONTAP_OS/Event_forwarding_to_a_Syslog_server
For example, from my vSIM:
https://10.(redacted)/spi/pstejska_vsim_1/etc/log/
ems Mon Oct 4 13:00:31 America/New_York 2021 386739
ems.log.0000000077 Sat Aug 7 20:15:26 America/New_York 2021 1705388
ems.log.0000000078 Sat Aug 14 20:25:37 America/New_York 2021 1694715
ems.log.0000000079 Sat Aug 21 20:25:48 America/New_York 2021 1678842
ems.log.0000000080 Sat Aug 28 20:08:58 America/New_York 2021 1939244
ems.log.0000000081 Sat Sep 4 20:19:10 America/New_York 2021 1560149
ems.log.0000000082 Sat Sep 11 20:26:25 America/New_York 2021 4028150
ems.log.0000000083 Sat Sep 18 20:16:39 America/New_York 2021 1588241
ems.log.0000000084 Sat Sep 25 20:16:53 America/New_York 2021 1592303
ems.log.0000000085 Sat Oct 2 20:17:07 America/New_York 2021 1616498
ems.log.0000000086 Mon Oct 4 13:00:31 America/New_York 2021 386739