Question

condense each expression $5log {_{5} } x-\frac{1}{4} log_{5} (8-x)$

Answer 1

Answer:

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

Step-by-step explanation:

hope this helps

Answer 2

Answer:

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

Step-by-step explanation:

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