Welcome to Android Central! Keep in mind that the battery remaining estimate is based on previous usage--so if your recent previous usage has been pretty heavy, then the phone will assume you're going to keep using it like that, and will estimate a relatively short battery life on a full charge. The first 2 days with a phone is usually associated with fairly heavy usage, because you're busy installing a whole lot of apps, testing things out, and generally keeping the screen on. This all uses battery.
For a better idea of what your battery usage is like, show us some stats. Charge up to 100%, then let it drain to 20-30% with normal usage, without charging in between. Then show us:
1. The main
Settings>Battery screen.
2. The fullscreen battery graph screen (which shows Awake time and Cell Signal Strength).
3. The Screen category (to see total Screen On time).
4. The Cell Standby category, if present (to see Time Without Signal).
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You might have to install a 3rd party battery monitor, like GSam Battery Monitor, to get the Cell Signal Strength graph.