SOLUTION: how do you simplify 5 log(x+5)-3 log(x-3)+2logx? I come to x^2(x^5+3125)/x^3-27

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: how do you simplify 5 log(x+5)-3 log(x-3)+2logx? I come to x^2(x^5+3125)/x^3-27      Log On


   

Question 357575: how do you simplify 5 log(x+5)-3 log(x-3)+2logx?
I come to x^2(x^5+3125)/x^3-27
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
You've done fairly well so far except...
  • You forgot the "log" in front of your answer
  • Exponents do not distribute! %28x%2B5%29%5E5 IS NOT x%5E5+%2B+5%5E5!!! And %28x-3%29%5E3 IS NOT x%5E3+-+3%5E3.

    • So your answer should be:
    log%28%28%28x%5E2%28x%2B5%29%5E5%29%2F%28x-3%29%5E3%29%29
    or whatever you get if you correctly raise x+5 and x-3 to their respective powers.

    If you feel you should multiply these out, look into using the binomial theorem. If you do not know how to use the Binomial Theorem, then just multiply (x+5)(x+5)(x+5)(x+5)(x+5) and (x-3)(x-3)(x-3) by hand.