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: 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


    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


    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.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook