Question

I NEED HELP PLEASE, THANKS! :)

Answer 1

Answer:   $\bold{log_5\bigg(\dfrac{x^5}{(8-x)^{\frac{1}{4}}}\bigg)}$

Step-by-step explanation:

Notes: Coefficients condense to exponents.

           Subtraction condenses to division

$5\log_5(x)-\dfrac{1}{4}\log_5(8-x)\\\\\\=\log_5(x)^5-\log_5(8-x)^\frac{1}{4}\\\\\\=\large\boxed{\log_5\bigg(\dfrac{x^5}{(8-x)^\frac{1}{4}}\bigg)}$