Simple ? on how to construct an output file with current date in it

Afternoon,

I have a ps script I just crafted that will recursively delete BAK files from a parent and child folders of said parent.

Works like a champ.

I cannot seem to get the easy part of outputting the files that are deleted into a folder (let’s say on the root of C:\ ) that has the current timestamp when the processes of purging began.

Final look of the file would be similar to this (saying the purge script executed at 1:30a in the morning).

    PurgedBAKFilesOn_130808_013000.log

Any help is greatly appreciated!