SOLUTION: True or False: log x^2/log y^2=log x/log y From what I've read it is false but I'm not sure. Can someone help me with this?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: True or False: log x^2/log y^2=log x/log y From what I've read it is false but I'm not sure. Can someone help me with this?      Log On


   

Question 32905: True or False: log x^2/log y^2=log x/log y From what I've read it is false but I'm not sure. Can someone help me with this?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
%28log%28x%29%5E2%29%2Flog%28y%29%5E2+=+%28log%28x%29%29%2Flog%28y%29?
Apply the power rule for logarithms: Log%28M%29%5Ep+=+pLog%28M%29
log%28x%29%5E2+=+2log%28x%29 and
log%28y%29%5E2+=+2log%28y%29, so,
%28log%28x%5E2%29%29%2Flog%28y%29%5E2+=+%282log%28x%29%29%2F2log%28y%29 Cancel the 2's to get:
log%28x%29%2Flog%28y%29
The answer is: True!