1. Not finding help here? Sign up for a free 30min 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!

Short yet confusing log equation

  1. Jan 3, 2009 #1
    1. The problem statement, all variables and given/known data
    Solve the equation
    log x4 - log x3 = log 3x - log 2x

    I know the laws of logs and I cleared all the other log questions in seconds but I cant figure this one out

    2. Relevant equations
    I know that log x4 - log x3 is the same as log x4/x3
    but what I was wondering is if I can use the laws of indices here and substract 3 from the 4 leaving me with log x

    3. The attempt at a solution
    Im completely stuck on this one
  2. jcsd
  3. Jan 3, 2009 #2


    User Avatar
    Homework Helper

    Yes you can.
  4. Jan 3, 2009 #3


    User Avatar
    Gold Member

    Yes, use a similar rule on the other side to solve the equation.
  5. Jan 3, 2009 #4
    I'm still stuck. So I put the equation in this format logx = log(3x/2x) then cancel out those x's so I have logx = log3/2. Do I just get rid of the logs and say x = 3/2?

    EDIT: I thought about that there and realized that obviously is the case. Thanks for the help
  6. Jan 3, 2009 #5


    User Avatar
    Gold Member

    Good Job!
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Short yet confusing log equation
  1. Log equations (Replies: 3)

  2. Log equations (Replies: 7)

  3. This log equation (Replies: 4)

  4. Log Equation (Replies: 2)

  5. Log Equation (Replies: 6)