How do you expand ln(x/y) - 2ln(x^3) -4lny ?

1 Answer
May 19, 2016

Answer:
after expanding -5lnx-5lny
after simplication -ln(xy)^5

Explanation:

ln(A/B) = ln A - ln B
ln(AB) = lnA+lnB
ln(A^B) = B*lnA

Using the above two rules we can expand the given expression into:

lnx - lny -2*3*lnx-4lny
rArrlnx-lny-6lnx-4lny
or, -5lnx-5lny

On further simplification we get

-5(lnx +lny)
or-5*lnxy
or-ln(xy)^5