SOLUTION: Please help me with the following: Express as a single logarithm and, if possible, simplity. ln 2x + 3(1n x - ln y) Thanks

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Please help me with the following: Express as a single logarithm and, if possible, simplity. ln 2x + 3(1n x - ln y) Thanks      Log On


   

Question 167935: Please help me with the following:
Express as a single logarithm and, if possible, simplity.

ln 2x + 3(1n x - ln y)
Thanks
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
You will be apply "log rules":
http://www.purplemath.com/modules/logrules.htm
.
ln 2x + 3(1n x - ln y)
ln 2x + 3(1n(x/y))
ln 2x + 1n((x/y)^3)
ln(2x[(x/y)^3])
ln(2x[(x^3/y^3)])
ln(2x^4/y^3)