If you mean then what you wrote is correct:
.
(The last sign is z, not 2)
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