Avast
Event logs
Application specific files
C:\ProgramData\AVAST Software\Avast\log\aswAr*.log
C:\ProgramData\AVAST Software\Avast\log\AvastSvc.log
Taken from KAPE:
C:\Documents And Settings\All Users\Application Data\Avast Software\Avast\Log\
C:\ProgramData\Avast Software\Avast\Log\
C:\Users\%user%\Avast Software\Avast\Log\
C:\ProgramData\Avast Software\Avast\Chest\index.xml