Down 70% in under 5 hours...

Can you post screenshots of the Settings>Battery menu? Show us the main screen, the full graph, the Screen category (to see the screen-on time), and the Cell Standby category (to see the Time Without Signal).
 
Also I would recommend posting the screen shots from gsam

dpham00, Android Central Moderator
Sent from my Verizon Samsung Galaxy Note 3
 
We would need screenshots to know what is eating the battery.

Sent from my T-Mobile Note 3 using AC Forums.
 
Okay this might be a really stupid question but I don't see where it gives me the option to post a photo in the thread.
 
Are you on the app or the site?

Sent from my T-Mobile Note 3 using AC Forums.
 
Are you using the app or the website? If you're on the website, click on the image icon in the editing buttons--it's the one that looks like a photo of a tree, right next to the globes. It'll ask you which image to post.

If you're using the AC app, there should be a paperclip icon at the top.
 
Here are some screen shots.

Posted via Android Central App
 

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Well it looks like your screen was on a lot of that 4 to 5 hour period... So It draining really fast would make sense.

Sent from my T-Mobile Note 3 using AC Forums.
 
Your screen has been on for a lot of that time. Can you find the screen-on time in those menus? If I had to guess, I'd say your screen has been on for over 4 hrs. Most phones like the One can keep the screen on with mixed use for a total of maybe 5 hrs or so, so your battery life doesn't seem that bad.