SOLUTION: I need help on logarithms. This is a precalculus homework question. "Write the expression as one logarithm. 2ln x - 4ln (1/y) - 3ln(xy)" Thanks

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: I need help on logarithms. This is a precalculus homework question. "Write the expression as one logarithm. 2ln x - 4ln (1/y) - 3ln(xy)" Thanks      Log On


   



Question 58817: I need help on logarithms. This is a precalculus homework question. "Write the expression as one logarithm. 2ln x - 4ln (1/y) - 3ln(xy)" Thanks
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Rules I will use:
highlight%28aln%28x%29=ln%28x%5Ea%29%29
highlight%28ln%28x%29%2Bln%28y%29=ln%28xy%29%29
highlight%28ln%28x%29-ln%28y%29=ln%28x%2Fy%29%29
:
Write the expression as one logarithm.
2ln(x)-4ln(1/y)-3ln(xy)
ln%28x%5E2%29%2Bln%28%281%2Fy%29%5E%28-4%29%29-ln%28%28xy%29%5E3%29
ln%28x%5E2%29%2Bln%28y%5E4%29-ln%28x%5E3%2Ay%5E3%29
ln%28x%5E2%2Ay%5E4%29-ln%28x%5E3%2Ay%5E3%29
ln%28%28x%5E2%2Ay%5E4%29%2F%28x%5E3%2Ay%5E3%29%29
ln%28y%5E%284-3%29%2Fx%5E%283-2%29%29
ln%28y%2Fx%29
Happy Calculating!!!