SOLUTION: I don't understand how to do this. How do you get this in simpler terms? (log(sub x)Y)(log(sub y)X) What,in simplest terms and showing why?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: I don't understand how to do this. How do you get this in simpler terms? (log(sub x)Y)(log(sub y)X) What,in simplest terms and showing why?      Log On


   

Question 312951: I don't understand how to do this. How do you get this in simpler terms?
(log(sub x)Y)(log(sub y)X) What,in simplest terms and showing why?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
the logarithm of a quantity (A) in some base (b) is equal to ___ [log(A)] / [log(b)]

in this case, you have ___ [log(Y) / log(x)] [log(X) / log(y)] , which equals one