When the ADMS is started for the first time a log file will be created. This will continue to log the actions performed against the directory and the settings loaded at start up. The log will continue to grow but once it reaches 25MB it will be renamed and replaced upon the next restart of the service.
Old log files can be viewed by using File → Open and navigate to Logs folder, located with the rest of the installation, and select the file you wish to review. Old files will have the date they were closed off in the filename.
To refresh your log view (if the sync is currently running) use the "Reload Log" option.