To solve this problem you must apply the proccedure shown below:
1. You have:
In(2x+3)=7
2. Then, you must apply log(e), as below:
In(2x+3)=ln(e^7)
3. Now, you obtain:
2x+3=e^7
4. Youy must clear the variable "x", as below:
2x=e^7-3
x=(e^7-3)/2
5. Therefore, the value of "x" is:
x=546.817
The answer is: x=546.817