Assist in rearrangment of equation that includes ln

  • Thread starter Bgayn
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  • #1
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Main Question or Discussion Point

T= ln x/k divided by (x-k)

I need to rearrange this equation to solve for x.

any suggestions?
 

Answers and Replies

  • #2
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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?
 
  • #3
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T= ln x/k divided by (x-k)

I need to rearrange this equation to solve for x.

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

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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