SOLUTION: E^2-4ln(x)+ln(y) Use the the properties of logarithms to write the following expression as a single term that doesn't contain a logarithm.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: E^2-4ln(x)+ln(y) Use the the properties of logarithms to write the following expression as a single term that doesn't contain a logarithm.       Log On


   



Question 962792: E^2-4ln(x)+ln(y)
Use the the properties of logarithms to write the following expression as a single term that doesn't contain a logarithm.

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The entire expression as one single term?

E%5E2=ln%28e%5E%28E%5E2%29%29, makes use of the inverse relationship between exponential and logarithm functions.

E%5E2-4ln%28x%29%2Bln%28y%29

FIXING MY MISTAKE:
cross%28ln%28e%5E%28E%5E2%29%29-ln%28x%29%2Bln%28y%29%29
ln%28e%5E%28E%5E2%29%29-ln%28x%5E4%29%2Bln%28y%29

cross%28ln%28e%5E%28E%5E2%29%29%2Bln%28y%29-ln%28x%29%29
ln%28e%5E%28E%5E2%29%29%2Bln%28y%29-ln%28x%5E4%29

ln%28e%5E%28E%5E2%29ln%28y%2Fx%5E4%29%29----Now corrected.

The argument INSIDE the natural log function IS highlight%28e%5E%28E%5E2%29ln%28y%2Fx%5E4%29%29.