Assist in rearrangment of equation that includes ln

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To rearrange the equation T = ln(x/k) / (x - k) to solve for x, clarity in the equation's structure is essential. The division can occur either before or after taking the logarithm, leading to different interpretations. Understanding whether T represents the logarithm of the fraction or the fraction of the logarithm is crucial for solving the equation correctly. Providing context and previous attempts at solving the equation will aid in receiving more targeted assistance. Clear communication of the equation's format is necessary for effective problem-solving.
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T= ln x/k divided by (x-k)

I need to rearrange this equation to solve for x.

any suggestions?
 
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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?
 
Bgayn said:
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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