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If nn And kk Are Positive Integers And 2kn<2k+12 ^ { k } \leq n < 2 ^ { k + 1 }

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Essay

If nn and kk are positive integers and 2kn<2k+12 ^ { k } \leq n < 2 ^ { k + 1 } , what is log2(n)\left\lfloor \log _ { 2 } ( n ) \right\rfloor ? Be sure to justify each step of your answer.


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