Hi Radim,
You can enable MCP and bigpipe logging under System | Logs | Options to have LTM record the changes administrators make to the configuration. If you want to send this logging remotely you could configure remote logging:
sol11723: Filtering log messages sent to remote syslog servers (9.4.x - 10.x)
https://support.f5.com/kb/en-us/solutions/public/11000/700/sol11723.html
sol13333: Filtering log messages sent to remote syslog servers (11.x)
https://support.f5.com/kb/en-us/solutions/public/13000/300/sol13333.html
Aaron