http://www.techspot.com/review/734-battlefield-4-benchmarks/page6.html
And for a WTF? moment read the comment about how the FX-8350 did "so well" when tested.
I say WTF because above they show weaker CPU's getting the same frame rate, including the FX-4320 which is nearly identical except it has HALF the number of cores (the FX-8350 is supposedly also at 60% load. Uh... the FX-4320 has half the cores, performs about the same so how's that work?)
The MORAL here is that the testing is probably wrong. (and when a weaker CPU performs the same it's because of a GPU bottleneck not because the FX-8350 is "matching" the performance of an i7. Sigh.)
Anyway, in the REAL WORLD the i3-6100 can do a great job though an i5-6600 would do better at times for heavy maps. You just don't have the BUDGET for that, but it's probably not a big deal.