The function p is defined by p n = 7 n 3 . What is the value of n when

Question

The function p is defined by p n = 7 n 3 . What is the value of n when p ( n ) is equal to 56 ?

Accepted Answer

Choice A is correct. It's given that p n = 7 n 3 . Substituting 56 for p n in this equation yields 56 = 7 n 3 . Dividing each side of this equation by 7 yields 8 = n 3 . Taking the cube root of each side of this equation yields 2 = n . Therefore, when p n 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.

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