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

1 Answer
Jul 4, 2018

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