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If √3n = 729, then the value of n is equal to:

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If √3n = 729, then the value of n is equal to:
1. 6
2. 8
3. 12
4. 9
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Correct Answer - Option 3 : 12

Given:

√3n = 729

Formulas 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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