Windows typically uses the following directory to store MSI logs with the filenames “Msi*.log”:
By examining the MSI logs most recently modified, you can often see installation issues, such as permission errors, registry problems, and dependancy errors:
dir /O-D /TW %SYSTEMROOT%\Temp\Msi*.log
If MSI logging is not enabled, you can enable it by editing the registry or via GPO. See KB223300 for details on how to enable logging.