SOLUTION: Please help me condense the logarithmic expression: {{{ log(x) + log((x^2-36)) - log(15) - log((x+6)) }}} The steps I've been following have provided incorrect answers... I've

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Please help me condense the logarithmic expression: {{{ log(x) + log((x^2-36)) - log(15) - log((x+6)) }}} The steps I've been following have provided incorrect answers... I've      Log On


   



Question 683631: Please help me condense the logarithmic expression:
+log%28x%29+%2B+log%28%28x%5E2-36%29%29+-+log%2815%29+-+log%28%28x%2B6%29%29+
The steps I've been following have provided incorrect answers...
I've been doing it as...
step one combine: log(x(x^2-36) - log(15(x+6))
Simplify: log(x^3-36x) - log(15x+90)
Combine: log ((x^3-36x) / (15x+90))
Simplify some more...: log ((x^2-2x) / (20))
Sorry if my explanation seems off, I'm new to this whole system.
Thank you :)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me condense the logarithmic expression:
+log%28x%29+%2B+log%28%28x%5E2-36%29%29+-+log%2815%29+-+log%28%28x%2B6%29%29+
------------
= log%28%28x%2A%28x-6%29%2A%28x%2B6%29%29%2F%2815%28x%2B6%29%29%29
= log%28x%2A%28x-6%29%2F15%29