Find the value of n

Question

3*√27=3^n

Find the value of n.

I am confused on this question!

Does anyone know how to do it?

Answer 1

3√27 = 3ⁿ            convert all to base 3

3√(3³) = 3ⁿ          convert radical to exponent

3(3^3/2) = 3ⁿ          add exponents

3^5/2 = 3ⁿ

5/2 = n