Question

In Exercise, expand the logarithmic expression.
ln(x/x - 3)^3

Answer 1

`y=3lnx-3ln(x-3)`

Explanation:

Let
`y=ln((x)/(x-3))^3`

`y=3ln((x)/(x-3))`

By using the property

`lnx^y=ylnx`

We know that

`ln(m)/(n)=ln m-ln n`

By using this property we get

`y=3(lnx-ln(x-3))`

`y=3lnx-3ln(x-3)`

Hence, the expanding form of logarithmic expression

`y=3lnx-3ln(x-3)`