The general ecu.test log files are in your temporary directory.
For a quick access you can enter %temp% in your Windows Start menu and navigate to your respective ecu.test version directory.
There you will find ecu.test_err.log and ecu.test_out.log. If you use test management service you will find a TMS.log as well.
If you use Tool-Server you will find ToolServer_err.log and ToolServer_out.log.
Whenever you execute a test, ecu.test will generate specific ecu.test_err.log and ecu.test_out.log in the same folder as the test report (.trf)
Shortcut
Ctrl + F10 will open ecu.test_err.log, ecu.test_out.log and TMS.log directly in an editor.