Question

How do you find a power series representation for `ln(8-x)` and what is the radius of convergence?

Answer 1

You can follow the principles found in this answer for a very similar problem:

https://socratic.org/questions/how-do-you-find-a-power-series-representation-for-ln-5-x-and-what-is-the-radius-

Simply adjust it to fit your problem---instead of multiplying by `1/5`, for instance, you can multiply by `1/8`.