SOLUTION: express as a single logarithm ln x^2+7x-18/x-1- ln x^2+8x-9/x+4+ln(x^2-4x+4)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: express as a single logarithm ln x^2+7x-18/x-1- ln x^2+8x-9/x+4+ln(x^2-4x+4)      Log On


   

Question 926807: express as a single logarithm ln x^2+7x-18/x-1- ln x^2+8x-9/x+4+ln(x^2-4x+4)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
express as a single logarithm
ln [x^2+7x-18/x-1]- ln [x^2+8x-9/x+4] + ln(x^2-4x+4)
-----------
= ln[[x^2+7x-18/x-1]/(x^2+8x-9/x+4)
-----------
= ln[(x+9)(x-2)/(x-1) * (x-2)^2 / (x+9)(x-1)/(x+4)]
-------
= ln[(x+9)(x-2)/(x-1) * (x-2)^2(x+4)/(x+9)(x-1)]
-----------
= ln[(x-2)/(x-1) * (x-2)^2(x+4)/(x-1)]
-----------------------
= ln[(x-2)^3 (x+4)/(x-1)^2]
------------
Cheers,
Stan H.
-------------