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Laws of Exponents for Real Numbers

If √3n=81. ...

Question

If $\sqrt{3^{n}} = 81$ . Then n is equal to

A

2

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B

4

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C

6

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D

8

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Solution

The correct option is D 8
$\sqrt{3^{n}} = 81 \Rightarrow 3^{n / 2} = 3^{4} \Rightarrow \frac{n}{2} = 4 \Rightarrow n = 8$

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