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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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