Assuming x and y are positive,use properties of logarithms to write the expression as a sum or difference of a logarithm or multiples of logarithms. In (x^3)/(y^3)?

1 Answer
Nov 21, 2016

We know that lna - lnb = ln(a/b).

ln(x^3/y^3) = lnx^3 - lny^3

We know that lna^n = nlna:

=>3lnx - 3lny

If you want it in factored form, we can have:

=>3(lnx- lny)

Hopefully this helps!