Find the value of x in the expression : 4 3x + 1 = 2

Answer: Option D

$$\begin{array}{rl}& \text{root}4\text{of}3x+1=2\\ & \Rightarrow {\left(\text{root}4\text{of}3x+1\right)}^4=2^4\\ & \Rightarrow {\left(3x+1\right)}^{4\times \frac{1}{4}}=16\\ & \Rightarrow 3x=15\\ & \Rightarrow x=5\end{array}$$