In my experience, as a hack programmer, the only way to really combine two pieces of code like that is to completely understand how each piece works. Once you fully understand what's happening it will start to become apparent which pieces you can keep and what you need to rewrite. It isn't so much about bashing two sketches together as combining two concepts. Just read them over and over and make experimental changes until they make sense. You don't need some of the code on the logger so work on eliminating that as a means to understanding how logging works.
One little tip. I notice that the logging sketch uses delay() for timing when to log. That won't be acceptable when you combine the two. So now there's another sketch that you will need to digest - blink without delay. The concept behind it will be needed.