What is the value of integer x?

Question

(1) The square root of x is a prime number

(2)  4^{4x+8} = 16^{3x+1}

TestPrepUnlimited · Answer

Statement 1:

x can be a squares of any prime number. Insufficient.

Statement 2:

We can make the bases of the exponent the same:

4^{4x+8} = 4^{2*(3x+1)}

4^{4x+8} = 4^{6x + 2}

Since the base is 4 (positive and not 1), the exponents here must be the same.

4x + 8 = 6x + 2 . We can solve for x so sufficient.

Ans: B

philipssonicare · Answer

I think this is a poor quality question. Statements 1 and 2 do not agree.

1. √x=prime
2. x=3

√3≠prime

Bunuel · Answer

You are right. The statements contradict each other. So, the question is flawed.

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