Question: We define on the set N_1 = {1, 2, 3, ...} of positive integers a relation ~ such that two positive integers x and y

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We define on the set N_1 = {1, 2, 3, ...} of positive integers a relation ~ such that two positive integers x and y satisfy x ~ y if and only if x/y = 2^k for some integer k. Show that ~ is an equivalence relation

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