SOLUTION: Use logarithmic properties to expand the expression, ln(e^3y/x^2), as much as possible.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Use logarithmic properties to expand the expression, ln(e^3y/x^2), as much as possible.      Log On


   



Question 201673: Use logarithmic properties to expand the expression, ln(e^3y/x^2), as much as possible.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Expand:
ln%28%28e%5E%283y%29%29%2F%28x%5E2%29%29 Apply the "quotient rule" for logarithms.Log%5Bb%5D%28M%2FN%29+=+Log%5Bb%5D%28M%29+-+Log%5Bb%5D%28N%29.
ln%28e%5E%283y%29%29-ln%28x%5E2%29 Now apply the "power rule" for logarithms.Log%5Bb%5D%28M%5Ep%29+=+p%2ALog%5Bb%5D%28M%29
3y%2Aln%28e%29-2%2Aln%28x%29 Substitute ln%28e%29+=+1
highlight%283y-2%2Aln%28x%29%29