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Multiply logs help

  1. Mar 16, 2009 #1
    1. The problem statement, all variables and given/known data
    1/4ln(x+2) + 1/3ln(x+3)


    2. Relevant equations



    3. The attempt at a solution
    k so i know when we add log we can mulptily them an the number in front
    of it is the power.
    so would it be ln{(x+2)(x+3)} do we just multiply the numbers in front of the logs or do we add them
     
  2. jcsd
  3. Mar 16, 2009 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    Re: logs

    a*ln(b)=ln(b^a). So if you want to combine the two logs I would bring the factors outside into the log as powers before combining them.
     
  4. Mar 16, 2009 #3
    Re: logs

    ok i got ya
     
  5. Mar 17, 2009 #4

    Mark44

    Staff: Mentor

    Re: logs

    Also, I would interpret 1/4ln(x+2) + 1/3ln(x+3) as you probably meant it (with the two ln terms in the numerators), but it might cause confusion with some people.

    It's probably better to write this as 1/4 * ln(x+2) + 1/3 * ln(x+3), making it clearer that the first ln term is being multiplied by 1/4 and the second by 1/3.
     
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