The Log is more useful for observing what No Hands SEO is doing at any one time and there isn't really anything that needs to be done in here. The large textbox is where all information about searching, posting and link checking is posted.
Clear Log - This button will simply clear the log of all information
Take Snapshot - This will open up the built in text viewer box with all of the information that is currently in the log, this makes it easier to read what is currently in the log while it is being updated, rather than it moving around while info is being added to it. This will also output the log to a file in the "My Documents\No Hands SEO\LOG" folder for later viewing.