Each component witin a cluster generates it's own log files. These log files are all written 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:
connector.log -> /opt/continuent/tungsten/tungsten-connector/log/connector.log connector-user.log -> /opt/continuent/tungsten/tungsten-connector/log/connector-user.log manager-user.log -> /opt/continuent/tungsten/tungsten-manager/log/manager-user.log mysqldump.log -> /opt/continuent/tungsten/tungsten-replicator/log/mysqldump.log replicator-user.log -> /opt/continuent/tungsten/tungsten-replicator/log/replicator-user.log tmsvc.log -> /opt/continuent/tungsten/tungsten-manager/log/tmsvc.log trepsvc.log -> /opt/continuent/tungsten/tungsten-replicator/log/trepsvc.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 for each of the layers, the main detailed log for each component, along with logs for backups, if they exist.