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)#?

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Answer 1 · 2016-11-21T00:18:52

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!