First question: How do you know you had half the oil when you returned? On my YZ I only get a Full / Not Full indication.
Second question: Was it using oil at this rate before you changed the oil?
Like 76 said, if it isn't leaking out where you can see it then it has to be leaking in along the crank, which means the crankshaft seal. The seal is cheap, ~8.00. Probably a few dollars more for the gaskets around the case cover. You might want to replace the clutch plates while you are at it, since you will be taking them off to get to the seal.
I would be surpised that the seal went from being fine to leaking half the oil in 3 hours riding time immediatly after an oil change. Either the old oil was a lot thicker and thus didn't leak, the synthetic oil somehow reacted with the seal (I certainly wouldn't expect that!), the timing of the seal failure was just right, or perhaps you didn't put as much oil in after the change as you thought you did.
I would certainly fill it back up and try again before I got too paniced about the leak. It is possible that you got a false "full" indication after the ride the oil settled into where it belongs.
If it turns out that the seal did go that bad that quickly then I would be afraid that there was a reason for the seal going bad. That seal has a pretty easy job: it has oil on both sides to keep it lubricated, shouldn't ever have to deal with dirt, doesn't have any sunlight shining on it to have UV issues, and it isn't that old. The most likely reason for such a seal to fail is that the shaft that it is trying to seal against is moving too much, which means the bearing is shot.
If you establish that it is the seal then after you remove it try to get a measure of the radial play in the crankshaft. If the crankshaft is wobbling around you will never get a seal to last.
Rod