I am really stumped on this question. I have tried re arranging it but I can't seem to get it right.
ln x - ln x^2 = ln 27
At what point do you get stuck? Are you able to combine the left-hand side into a single logarithm? After that you can equate the expressions inside the logs (or, equivalently, make both sides exponential to the base so that the logarithm operations get canceled out).