Question

5logx + logy
Condense fully

Answer 1

log (
`(x^(5) )/(y^(5) )`)

Explanation:

Use the quotient property of logarithms,
`logb` (
`x`)
`- logb` (
`y`) =
`logb (x)/(y)`

`5log ((x)/(y) )`

Simplify 5 log
`((x)/(y) )` by moving 5 inside the logarithm.

log
`(((x)/(y) )^(5) )`

Apply the product rule to
`(x)/(y)`

log
`((x^(5) )/(y^(5) ) )`