Yes, I log my miles. Why? For personal pride. I've biked more since I started bike commuting than I ever have before. I recently hit 700 miles so far in 2007, I'm excited to see what my total 2007 mileage will be.
Probably more important than mileage, is tracking type of transportation used to get to work. My wife has a big monthly planning calendar, and on each workday I write how I got to work (bike, car, bus) or if I took vacation. At the end of the year I can add up the number of days I've biked to work versus days I driven my car.