Write as a sum or difference of logarithms:

Log b(base) 8^ (8th root)√(x^5y^3):z^9 (x, y and z under the root sign)

It’s hard to type the solution, I need to learn how to post the questions the right way, but for now please excuse me. Is the answer ⅝ log b (base) x + ⅜ log b (base) x – 9/8 log b (base) 2

Thank you