[Nanobyte]

I think I might have stumbled upon the solution, but I don't know how explain it on paper. One of the definitions of an exponential function includes:

e^x=y, if lny=x

So, if x=ln2, then:

e^x, x < ln2
2, x >/= ln2

Both would come out to equal the same thing. But that is only if you take x to be equal to ln2 on both accounts. Then the answer would be 2 (c).