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2009/10 AHSMC Part 1 Problem 1

Problem 1 of 16

If 2x=3y2^x = 3^y, then 4x4^x is equal to

Answer choices

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Solution

If 2x=3y2^x = 3^y, then 4x=(2x)2=(3y)2=9y4^x = (2^x)^2 = (3^y)^2 = 9^y. The answer is (D).