The replicator generates it's own log files. These log files are all written into their own directory within the installation directory structure. In addition, symbolic links are generated for easier access to light weight logs more suited for general user use.
For example, this is the listing of the default log directory, /opt/continuent/service_logs:
mysqldump.log -> /opt/continuent/tungsten/tungsten-replicator/log/mysqldump.log replicator-user.log -> /opt/continuent/tungsten/tungsten-replicator/log/replicator-user.log xtrabackup.log -> /opt/continuent/tungsten/tungsten-replicator/log/xtrabackup.log
As you can see, each log file is a symlink to the user-level log, along with logs for backups, if they exist.
The more detailed log files can be found in each of the “real” log directories, for example: