Time Machine, does it have a log?

So I can see exactly what it is backing up? I know I can open it and see what it has backed up but I am trying to find out what it backed up last.

Basically I am trying to eliminate junk from reaching the external drive. I know how to find a few cache folders and such for certain applications but you can't always be sure. Yet I look all over and I cannot seem to find out what it is doing "right now" or "just then"