Hi Vamsi,
 
There is a logging framework avilable where we can write the logs in the AppServer log file. You can use it this way
 
server.logWrite( LogLevel.INFO, "My Log Statement" );

You can change the level from INFO, VERBOSE, WARNING, ERROR etc. Similar to what we see in the trace settings for the CUAE logs. You can take a look at the SimpleJtapiPhoneMonitor Java example for this.
 
Thanks
Nabhonil