Have you looked for leaks?
Consuming more than 1qt of oil per 1000 miles is the cut off between acceptable and unacceptable.
Most engines only hold 5qts of oil, so if you're going 5k miles between oil changes you can suck the engine dry before the next oil change. That is why you need to check the engine oil level periodically, at least every 1000 miles.
Before you run out of oil, as you drive the oil will slosh, if there is barely anything left in the pan, then it will uncover the pick up and you'll suck in air, which will drop the oil pressure and you'll get the low oil pressure light coming on. Usually most people first response when that happens is to check the oil level and will discover the extreme low oil level.
So it sounds like your Hemi has consumed more than half its oil since the last oil change. You don't know if its done this at a steady rate or if its suddenly started consuming oil at an unacceptable rate, because you haven't been checking. If its been doing it steady, it sounds like you're under the acceptable rate of oil consumption.
But, it sound like the oil consumption is enough to concern you and should be looked into. Oil is consumed two ways, wear and/or malfunctions, even a new engine oil gets pasts seals, piston rings and valve stems and gets inside the cylinder and burned, as the engine wears this gets worse to the point where the engine is so worn out that oil gets past everything is burning and going out the exhaust, this usually produces grey-bluish smoke coming from the exhaust. About the only wear item that is practically repairable without an engine rebuild, is the valve stem seals, and sometimes they do go bad and replacing them cures high oil consumption. The malfunctions that cause high oil consumption? Keep in mind, the oil is splashing around, pumped all over the motor and even misting all over in the air inside the motor, so any minor seals/gasket on the motor develops a leak, a lot of oil can leak out of it. The crankcase has to have pressures equalized and fresh air circulated through it, there are valves and breathers to do this, they have valves and baffles to move the air without taking to much misted oil with it. Just the PCV valve getting dirty or clogged could cause a lot of oil to flow out of the crankcase and into the intake to be burned by the motor. So you have to look all these things over.
A couple miles over the 5k makes no difference at all, you have to change the oil before it degrades so bad it is NOT protecting the engine like it should. Most change intervals are earlier than needed, and the oil degrades slowly, so its NOT like at 5001 miles the engine just eats itself, you can go a while longer, several hundred miles at least without much worry.
BTW, short trips only, where the engine doesn't reach full operating temp during the trip, is about the most severe usage on the oil, you really need to follow the severe duty schedule for the vehicle. Yes, synthetic oil will last longer under the same conditions as conventional oil, so every 5k miles is probably a good change interval for all short trips using synthetic oil. Check your Owners Manual and take that over my opinion.