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