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    Question

    If √3n 729, then the value of n is

    equal to:
    A 6 Correct Answer Incorrect Answer
    B 8 Correct Answer Incorrect Answer
    C 12 Correct Answer Incorrect Answer
    D 9 Correct Answer Incorrect Answer

    Solution

    Formula used: (xa)b = xab If xa = xb then a = b Calculation: √3n = 729 ⇒ √3n = (32)3 ⇒ (3n)1/2 = (32)3 ⇒ (3n)1/2 = 36 ⇒ n/2 = 6 ∴ n = 12

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