Hello, thank you for taking the time to post your question!
This is one where you would want to use partial fraction decomposition in order to break it all the way down.
That means starting with the general form
5x + 1 = A(x+1)^2 + B*(x−4)(x+1) + C(x−4)
From there then you want to solve directly for the values of A, B, and C and then use the properties of logarithms in order to simplify as much as possible!
Hopefully that gets you moving in the right direction! Feel free to reach out if you have any questions beyond that :)
