There are two ways you can monitor your community health. The first way shows an overview of your community's health, as interpreted for vitality, in Telligent Community Analytics [Community Health Summary] widget.
The second way to monitor its health is in the monitoring-related Telligent Community options.
Events will give you a link to the Events log that shows failed operations, messages, event date(s), machine name, event ID, event type, and Settings ID.
Tracing must already be started awhile before the event you want to look for is visible in Tracing. If Tracing is already on when the event happens, it will be readily visible on the page.
Diagnostics is a downloaded report like the following screen capture: