The deployments should already be logged in the server.log file. You should find entries like:
13:57:30,313 INFO [org.jboss.as.server] (HttpManagementService-threads - 7) JBAS018559: Deployed "TestApplication.ear"
Is there a way in your log configuration to add the date and time to this entry in the server.log? Thanks again for the original answer.