# Twice the fun

Algebra Level 4

$P(k)=2^k~\forall~0\leq k\leq 2015~\land~k\in\Bbb{Z}$

Consider a polynomial $$P(x)$$ of degree $$2015$$ which satisfies the condition above.

Let $$s=\log_2\bigg(P(2016)\bigg)$$.

Then, which of the given options best describes the value of $$s$$?

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