...We have been going about 5k miles on an oil change without problems. Was the full synthetic a good idea? Can we go longer between changes now? How do we figure that out? This car gets pretty frequent usage, between 15-30 miles a day commuting.
First, you don't know if an extended oil drain cycle is "without problems." The problem would be cumulative wear which is only noticeable as your engine, over time, looses compression and eventually needs a rebuild. Reducing your oil change interval and/or using a high quality full synthetic will reduce wear.
5,000km with a full synthetic, all things being equal, is going to cause less wear than using a non-synthetic or extending the drain interval.
FYI, I've had this explained to me by both aircraft engine mechanics and factory trained car mechanics. I'm convinced that synthetic oils do make a difference and will help the longevity of your engine.
I've been told by mechanics that any oil - conventional or synthetic - lubricates well the day you put it in your car. Over time, both will suffer some breakdown but synthetic is much more resistant, ergo it's effective at lubricating over more kilometers.
Full synthetic oils have a much higher flash point than conventional mineral oils. The temperatures oil is exposed to in the cylinder walls are higher than the flash point of conventional and (IIRC) lower than that of good synthetics.
It's time and exposure to heat in the cylinder walls that breaks conventional oil down faster leading to sludge that wears parts down. A full synthetic won't degrade as quickly so there's less wear-inducing sludge throughout the life of the oil.
I won't get into what constitutes a reasonable oil change interval other than saying 5,000km with a full synthetic is a very safe schedule and that oil analysis as suggested by "paddedhat" is going to give you hard data as to the state of your engine and oil so you can make an informed decision on future oil change intervals.
Putting in a plug for the stuff my mechanic uses: "Liqui-Moly" fully synthetic 5w-40, imported from Germany. (careful: they sell semi-synth and conventional in the US and Canada that's labeled "with synthetic technology" - you want the one labeled "fully synthetic")