If $n$ And $k$ Are Positive Integers And $2 ^ { k } \leq n < 2 ^ { k + 1 }$

question 5

Essay

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

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Definitions:

Collateral Agreement

An agreement that has its own consideration, but supports another agreement.

Breach of the Contract

An occurrence when one or more parties involved in a contract fail to fulfill their legal obligations as stipulated within the contract.

Financing

The process of providing funds for business activities, making purchases, or investing.

Agreements of Purchase

Legal documents formalizing the terms and conditions under which goods, services, or property are bought and sold.