1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Log equation

  1. Feb 5, 2010 #1
    1. The problem statement, all variables and given/known data

    Find x:

    log 3 (x^2 -5x+6) - log 2 (2-x) = 2

    2. Relevant equations



    3. The attempt at a solution
    I tried and got:
    (3-x).[(2-x)^1-log 2 (3)] = 9

    but I don't know how to get x here ...
     
  2. jcsd
  3. Feb 5, 2010 #2

    Mark44

    Staff: Mentor

    Some clarification, please. Is this
    log[3(x2 - 5x + 6)] - log[2(2 - x)] = 2

    or
    log3(x2 - 5x + 6) - log2(2 -x) = 2
    ?
     
  4. Feb 6, 2010 #3
    it is log3(x2 - 5x + 6) - log2(2 -x) = 2
     
  5. Feb 6, 2010 #4

    Mark44

    Staff: Mentor

    Are you sure you have the problem written correctly? It's very messy with the two log bases. I got to x2 - 5x + 6 = 9(2 - x)(1/log32)
     
  6. Feb 7, 2010 #5
    You got the same I got


    Yes I'm sure ...
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook