SOLUTION: Simplify the expression to a single log term: {{{log(x^2+3x)-log(x+3)}}}

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Simplify the expression to a single log term: {{{log(x^2+3x)-log(x+3)}}}      Log On


   

Question 610646: Simplify the expression to a single log term:
log%28x%5E2%2B3x%29-log%28x%2B3%29
Answer by radh(108) About Me  (Show Source):
You can put this solution on YOUR website!
First, factor out the GCFs.
log%28x%28x%29%2Bx%283%29%29-log%28x%2B3%29
Simplify further to getlog%28x%28x%2B3%29%29-log%28x%2B3%29.
You can combine the logarithmic expressions to get log%28x%28x%2B3%29%2F%28x%2B3%29%29 (Product Rule of Logarithms)
Cancel out the (x+3) and you get log(x). :)