If 2^a = 3^b = 6^c, which of the following is true?
Correct answer C. 1/c = 1/a + 1/b
Explanation
Let each equal k. Then 2 = k^(1/a), 3 = k^(1/b) and 6 = k^(1/c). Since 2 × 3 = 6, k^(1/a + 1/b) = k^(1/c), so 1/c = 1/a + 1/b.
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