Question

If √3^n = 81. Then, n is equal to?​

Answer 1

Step-by-step explanation:

$( { \sqrt{3} })^{n} = 81 \\ ({ {3}^{ \frac{1}{2} } })^{n} = {3}^{4} \\ {3}^{ \frac{n}{2} } = {3}^{4} \\ \frac{n}{2} = 4 \: \: \: (bases \: are \: equal \: powers \: can \: be \: equated) \\ n = 4 \times 2 \\ n = 8$