Forwarding logs to a logging system

Regarding the logs that are available over the web ui (event logs, audit logs, log records), can they be forwarded to a logging system?

Looking to put them into something like graylog.

We have documentation that describes how you can monitor FusionAuth.

Each of the logs that you mention has an API exposed that can be used to consume FusionAuth data into an external system.

At this time, you'll need to write scripts, using the client libraries, to scrape and ingest these logs.

If you are looking to get webhooks into a system, we have an example AWS lambda which pushes webhook events to S3.