olymmath

HMMT November 2015 U26

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Let f:R+→Rf: \mathbb{R}^{+} \rightarrow \mathbb{R} be a continuous function satisfying f(xy)=f(x)+f(y)+1f(x y)=f(x)+f(y)+1 for all positive reals x,yx, y. If f(2)=0f(2)=0, compute f(2015)f(2015).

Dataset text NuminaMath olympiads. Quoted with source.

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\log _{2} 2015-1

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