What is your battery usage statistics ? I'm getting great battery life. I had over 3 hours screen on time yesterday and with calls, Bluetooth audio usage etc, lots of memo and scrapbooking and drawing in sketchbook. I was still over 55 battery remaining at end of the day.
Maybe you have a rouge app using up battery ?
I'm on a custom ROM with most, if not all, of Samsung's services and apps disabled or removed. I've been using BetterBatteryStats to try and find what's really eating at my battery and I can't find anything. I've also tried disabling both GMD SPen Control and Sidebar which didn't seem to have an effect either.
It may be the battery itself, or maybe the software...I would wait for some more ROMs but I think I'll be selling the Note 3 off. Hopefully the N5 will have some decent battery life.