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Assist in rearrangment of equation that includes ln

  1. May 23, 2013 #1
    T= ln x/k divided by (x-k)

    I need to rearrange this equation to solve for x.

    any suggestions?
  2. jcsd
  3. May 23, 2013 #2
    If you use log(x/y) = log(x) - log(y), then at the very least you can isolate all the terms that have x in them. What is the context of your problem and what have you tried so far?
  4. May 24, 2013 #3


    Staff: Mentor

    Yes. Start by writing the equation unambiguously. What you wrote could mean either of these:
    $$T = \ln\left(\frac{x/k}{x - k}\right)$$
    $$T = \frac{\ln(x/y)}{x - k} $$

    In other words, does the division happen before taking the log, or after? We can't help you if we don't know what the problem is.
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