If you're cloning back, I don't quite see why you're copying off Desktop/Documents, because they never 'move' -- they're on the original drive anyway. And you should always be doing a regular backup of the base drive.
As far as getting the system.log from the base drive when you're on the sandbox, you'd use Finder's "Go To Folder" command to open
/Volumes/the-base-drive-name/private/var/log
system.log is in there.
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--Dave Nanian
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