Determine the set of all possible values of for .

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

Determine the set of all possible values of

k(x)=\lfloor \log_{2} x \rfloor

for

x\in(0.5,20)

. (a)

\{-1,0,1,2,3,4\}

(b)

\{0,1,2,3,4\}

(c)

\{-1,0,1,2,3\}

(d)

\{-2,-1,0,1,2,3,4\}