/var/run/log/vmkernel.log contains log output indicating dropped log messages.yyyy-mm-dd ALERT: vmsyslog logger X.X.X.X:514 lost 1 log message
/var/run/log/vmsyslogd.err contains log output similar to the following:yyyy-mm-dd vmsyslog.msgQueue : ERROR ] X.X.X.X:514 - lost 751 log messages
ESXi
The dropped logs are output to the following log file on the ESXi host.
/var/run/log/vmsyslogd-dropped.log
It is also described in the following document.
Syslog Message Queueing for Remote Hosts and Message Drops
japaneseKB:ESXiにおけるvmsyslogのドロップしたログの保存ディレクトリについて