log(subscribt) 3 √𝑥(𝑦−1)^4/27

Question

Please help me with my pre-calc question with a step by step, thank you.

Answer 1

I gather that you want to simplify this using log rules: log xⁿ ↔ n log x log_an = x → a^x = n √x = x^1/2

= log₃√x + 4log₃(y-1) - log₃27

= (1/2)log₃x + 4log₃(y-1) - 3