With moderate use like checking emails/facebook/texting/some youtube, some surfing and LTE on most of the day except when I get home from work which is on Wifi, I can last just over a day of use with about 4 hours screen time. But my phone is tweaked like hell.
When my phone was stock with all the fancy nancy stuff on, I got about 8 hours like you. But once I got into rooting and tweaking...it got WAY better battery life.