If 5^ ( x + 3 ) = 2 5^(3x - 4) then the value of x is = ?

Answer: Option B

$$\begin{array}{rl}& {\text{5}}^{\left(x+3\right)}\text{ = 2}{\text{5}}^{(3x-4)}\\ & \Rightarrow {\text{5}}^{\left(x+3\right)}\text{ = }{\left(5^2\right)}^{(3x-4)}\\ & \Rightarrow {\text{5}}^{\left(x+3\right)}\text{ = }{{\text{5}}^2}^{(3x-4)}\\ & \Rightarrow {\text{5}}^{\left(x+3\right)}\text{ = }{\text{5}}^{(6x-8)}\\ & \Rightarrow x+3=6x-8\\ & \Rightarrow 5x=11\\ & \Rightarrow x=\frac{11}{5}\end{array}$$