How to write to Standard Output using BufferedWriter

Your approach does work, you are just forgetting to flush the output:

try {    
  BufferedWriter log = new BufferedWriter(new OutputStreamWriter(System.out));

  log.write("This will be printed on stdout!\n");
  log.flush();
}
catch (Exception e) {
  e.printStackTrace();
}

The both OutputStreamWriter and PrintWriter are Writer instances so you can just do something like:

BufferedWriter log;

Writer openForFile(String fileName) {
  if (fileName != null)
    return new PrintWriter(fileName);
  else
    return new OutputStreamWriter(System.out);
}

log = new BufferedWriter(openForFile(null)); //stdout
log = new BufferedWriter(openForFile("mylog.log")); // using a file

or whatever, it is just to give you the idea..