SOLUTION: Rewrite the following expression as a single logarithm: 3 ln x-5 + ln (x-6) + 1/4 ln (x+9)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Rewrite the following expression as a single logarithm: 3 ln x-5 + ln (x-6) + 1/4 ln (x+9)      Log On


   

Question 206136: Rewrite the following expression as a single logarithm:
3 ln x-5 + ln (x-6) + 1/4 ln (x+9)
Answer by Marth(57) About Me  (Show Source):
You can put this solution on YOUR website!
Remember that
- a%2Aln%28n%29=ln%28n%5Ea%29
- ln%28a%29%2Bln%28b%29=ln%28ab%29
- ln%28a%29-ln%28b%29=ln%28a%2Fb%29


3ln%28x-5%29%2Bln%28x-6%29%2B%281%2F4%29ln%28x%2B9%29
=ln%28%28x-5%29%5E3%29%2Bln%28x-6%29%2Bln%28%28x%2B9%29%5E1%2F4%29
=ln%28%28%28x-5%29%5E3%29%28x-6%29%28x%2B9%29%5E%281%2F4%29%29