ExplanationWhen a non-multiple of 3 is divided by 3, the quotient does not terminate (for instance, \(\frac{1}{3}= 0.333\)…).

Since \(\frac{3^x(5^2)}{3^5(5^2)}\)does not repeat forever, x must be large enough to cancel out the \(3^5\) in the denominator.

Thus, x must be at least 5. Note that the question asks what must be true. Choice (D) must be true.

Choice (E), x = 5, represents one value that would work, but this choice does not have to be true.

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Sandy

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