I agree with the tip about the back arrow. Back up till you cant go any further.
I had a similar problem. I think that the Draw Something game (which is a well-known terrible port) was eating my battery. This is because it shows tile notifications even when you turn them off, and turn off syncing with xBox. So I'm 99% sure there are some apps out there that were coded poorly and don't follow the rules.
I resolved my issues by taking the following steps. Now I drain at 1-2% / hr.
1) Hard reset phone
2) Before installing any 3rd party apps, go through every crevice of every setting and app. Disable anything (WITHIN REASON - For example, do you really need WiFi on all the time?) that you suspect would eat battery or connect uselessly to the internet. After you get a baseline of your new battery performance, you can re-enable things as desired. Make sure to enable battery saver mode for when your battery gets low. That's a good failsafe.
3) Set up all of your accounts (email, Facebook, etc.)
4) Set email to SYNC "as items arrive". From my experience, this actually uses less battery. Defies logic, but it definitely seems that way. I use 2 accounts: Outlook.com and corporate Exchange. So I don't know if Google sync is an issue, but I'd be willing to guess ;-)
5) Install 3rd party apps (no games yet), one at a time, and tune the settings of each one after you install it, before moving to the next one. Make sure to check if each one is running a background service, and disable it. I only have one background service active (My Stocks Portfolio live tile).
Charge it and use it for a couple of days. Things should improve greatly.
Then you can go install games and see if that's killing you. I'm going 36 hours between charges. The point is to start with a fully optimized system, and not pile on all of your apps and games at once. Optimize the settings, then install apps one at a time, allowing enough time between the killer apps to adequately gauge battery life. It requires patience. But it's the only way you're gonna figure out the real culprit.., slow and methodical process of elimination. For me, it was very well worth it.
I don't think there's anything wrong with blowing up your phone a few times (i.e. hard resetting) in order to figure out the configuration that works best for you. But I came from the wild wild west (a.k.a. Android), where I was hard resetting every 4 days to try to figure out a way to get my battery to last over 5 hours.:grin: I don't miss that.