Question

Condense each expression
`5log {_(5) } x-(1)/(4) log_(5) (8-x)`

Answer 1

`log_5\biggr(\frac{x^5}{(8-x)^{(1)/(4)}}\biggr)`

Explanation:

`5log_5(x)-(1)/(4)log_5(8-x)\\ \\log_5(x^5)-log_5((8-x)^{(1)/(4)})\\\\log_5\biggr(\frac{x^5}{(8-x)^{(1)/(4)}}\biggr)`

Answer 2

5 log₅ x − ¼ log₅ (8−x)

log₅ x⁵ − log₅ (8−x)^¼

log₅ x⁵ − log₅ ∜(8−x)

log₅ (x⁵ / ∜(8−x)) is the answer

Explanation:

hope this helps