SOLUTION: 1/2(log_5 x + log_5 y)-2log_5(x+1) Help, I've been working for an hour on this and can't seem to get the answer for condensing this problem. Please.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 1/2(log_5 x + log_5 y)-2log_5(x+1) Help, I've been working for an hour on this and can't seem to get the answer for condensing this problem. Please.      Log On


   

Question 341715: 1/2(log_5 x + log_5 y)-2log_5(x+1)
Help, I've been working for an hour on this and can't seem to get the answer for condensing this problem. Please.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F2%29%28log%285%2C%28x%29%29%2Blog%285%2C%28y%29%29%29-2%2Alog%285%2C%28x%2B1%29%29 Start with the given expression.


%281%2F2%29log%285%2C%28xy%29%29-2%2Alog%285%2C%28x%2B1%29%29 Combine the first two logs using the identity log%28b%2C%28A%29%29%2Blog%28b%2C%28B%29%29=log%28b%2C%28A%2AB%29%29


log%285%2C%28%28xy%29%5E%281%2F2%29%5E%22%22%29%29-log%285%2C%28%28x%2B1%29%5E2%29%29 Use the identity y%2Alog%28b%2C%28x%29%29=log%28b%2C%28x%5Ey%29%29 to place the coefficients as the exponents.


log%285%2C%28sqrt%28xy%29%29%29-log%285%2C%28%28x%2B1%29%5E2%29%29 Rewrite %28xy%29%5E%281%2F2%29%5E%22%22 as sqrt%28xy%29


log%285%2C%28%28sqrt%28xy%29%29%2F%28%28x%2B1%29%5E2%29%29%29 Combine the logs using the identity log%28b%2C%28A%29%29-log%28b%2C%28B%29%29=log%28b%2C%28A%2FB%29%29


So


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim