Question

Please provide steps

Answer 1

option (1)

Explanation:

using the properties of logarithms

• log x - log y ⇔ log (
`(x)/(y)` )

• log
`x^(n)` ⇔ nlog x

then

log (
`(x^(n) )/(√(y) )` )

= log (
`\frac{x^(n) }{y^{(1)/(2) } }` )

= log
`x^(n)` - log
`y^{(1)/(2) }`

= nlog x -
`(1)/(2)` log y