If 3 3^n = 27, then the value of n is = ?

Answer: Option A

According to question,
$$\begin{array}{rl}& \text{root}3\text{of}{3}^n\text{ = 27}\\ & \Rightarrow {\left(3^n\right)}^{\frac{1}{3}}={\left(3\right)}^3\\ & \Rightarrow 3^{\frac{n}{3}}=3^3\\ & \Rightarrow \frac{n}{3}=3\\ & \Rightarrow n=9\end{array}$$