SOLUTION: Express as a sum or difference of logarithms, simplify completely. logv2(36x^2-4xy)/(square root of 36x^3-4x^2y)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Express as a sum or difference of logarithms, simplify completely. logv2(36x^2-4xy)/(square root of 36x^3-4x^2y)      Log On


   

Question 1059656: Express as a sum or difference of logarithms, simplify completely. logv2(36x^2-4xy)/(square root of 36x^3-4x^2y)
Answer by Edwin McCravy(20065) About Me  (Show Source):
You can put this solution on YOUR website!
log%282%2C%28%2836x%5E2-4xy%29%2F%28sqrt%2836x%5E3-4x%5E2y%29%29%29%29

log%282%2C%28%284x%289x-y%29%29%2F%28sqrt%284x%5E2%289x-y%29%29%29%29%29

log%282%2C%28%284x%289x-y%29%29%2F%282x%28sqrt%289x-y%29%29%29%29%29



log%282%2C%28%282%289x-y%29%29%2F%28sqrt%289x-y%29%29%29%29

log%282%2C%28%282%289x-y%29%5E1%29%2F%28%289x-y%29%5E%28%221%2F2%22%29%29%29%29

Subtract exponents of (9x-y), 1-1/2 = 1/2

log%282%2C%282%289x-y%29%5E%28%221%2F2%22%29%29%29

log%282%2C%282%29%29%22%22%2B%22%22log%282%2C%28%289x-y%29%5E%28%221%2F2%22%29%29%29

1%22%22%2B%22%22expr%281%2F2%29log%282%2C%289x-y%29%29

Edwin