Answer: 4
Step-by-step explanation:
Given equation: [tex]3^{2x+1}=3^{x+5}[/tex]
[tex]\text{Here bases of the exponents are same therefore, the powers must be equal.}\\\Rightarrow2x+1=x+5\\\text{Subtract x from both the sides , we get}\\\Rightarrow2x+1-x=x+5-x\\\Rightarrow\ x+1=5\\\text{Subtract 1 from both sides, we get}\Rightarrow\ x+1-1=5-1\\\Rightarrow\ x=4[/tex]
Therefore, the value of x= 4.
