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If 3^x = 243 and 5^y = 125, what is x - y?

GMAT · 2022 · Quantitative
Question:
If 3^x = 243 and 5^y = 125, what is x - y?

Options

(A) 0
(B) 1
(C) 2
(D) 3
(E) 5
Answer: (C) 2

Explanation:
3^x = 243 = 3^5, so x = 5. 5^y = 125 = 5^3, so y = 3. Therefore x - y = 5 - 3 = 2.

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