Is my iPhone 5s draining the battery too fast and if so, how can I make it last longer?

I got the iPhone 5s a few days ago. I discharged the battery and then charged it for 8 hours. After that it seemed like it was draining power fast, so I looked for some solutions online. I disabled Location Services, some Push Notification, Auto-Brightness, and some apps processing in the background. It was fully charged several hours ago, however, I've been using it for approx. 3 hours now and it's at 52% as I type.
Is it draining battery life too fast, or is this the normal pace? Or does this always happen in the beginning. Are there other things I can do to prolong battery life?

Try setting it up as a new phone. If that doesn't fix your problem then you need a replacement.

If you use it connstatntly for 3 hours obviously the battery will go down, 52% is probably about right as the screen is always on.

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