Starcheat stores application logs in the 'Roaming' appdata directory like a lot of other programs.
You can get there easily by press WIN + R, then entering
%appdata% into the Run prompt. Then, open the starcheat folder.
Starcheat log files. Log without a number is current, numbers are backups of past runs. 5 backup log files are kept. If Starcheat crashes, send this file as well to the developer. It often contains helpful error information.