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Advanced Math / Nonlinear functions Difficulty: Medium

The function p is defined by pn=7n3. What is the value of n when p(n) is equal to 56 ?

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Explanation

Choice A is correct. It's given that pn=7n3. Substituting 56 for pn in this equation yields 56=7n3. Dividing each side of this equation by 7 yields 8=n3. Taking the cube root of each side of this equation yields 2=n. Therefore, when pn is equal to 56 , the value of n is 2 .

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.