Question

How do you use the properties of logarithms to expand `lnroot3(x/y)`?

Answer 1

`ln root(3)(x/y) = 1/3 ln x - 1/3 ln y`

Explanation:

`ln root(3)(x/y)`
`= ln (x/y)^(1/3)`
`= 1/3 xx ln (x/y)`
`= 1/3 xx (ln x - ln y)`
`= 1/3 ln x - 1/3 ln y`