Awesome Miner is writing log information to AwesomeMiner.log. To find this file, select the toolbar Tools in the main window, followed by clicking the toolbar button Log File. The log file is located in the folder: %LocalAppData%\AwesomeMiner\

The log file for Awesome Miner Remote Agent can be accessed from the Remote Agent icon in the lower right corner of the screen, where the right-click menu has the option Log File.