SOLUTION: log(5+x)-log(x-2)=log 4

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: log(5+x)-log(x-2)=log 4      Log On


   

Question 260527: log(5+x)-log(x-2)=log 4
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
log%285%2Bx%29-log%28x-2%29=log+4
step 1 - use rules of logs on the left side to get
log%28%285%2Bx%29%2F%28x-2%29%29+=+log%284%29
step 2- eliminate the logs to get
%285%2Bx%29%2F%28x-2%29+=+%284%29
step 3 - cross multiply to get
5%2Bx+=+4x-8
solve for x as
3x+=+13
x = 13/3