Yes you can. If you delete an item from your Dropbox you can see it by choosing "Show deleted files" from here you can choose to permanently delete the file. In my testing this also removes any trace of the file ever being created from Events. While Dropbox certainly could be keeping an undeletable log of everything you ever upload, there is no evidence that they are doing so.
While Dropbox certainly could be keeping an undeletable log of everything you ever upload, there is no evidence that they are doing so.
It is safer to assume that they are than to assume they are not. Maybe they got an NSL with a gag order that requires them to silently store logs indefinitely. There's no way of knowing, so just assume that's the case and plan accordingly (e.g. don't upload embarrassing college photos that would cause you problems if the upload logs were hacked and released to the public).
