# Assist in rearrangment of equation that includes ln

1. May 23, 2013

### Bgayn

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

I need to rearrange this equation to solve for x.

any suggestions?

2. May 23, 2013

### dillonb

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. May 24, 2013

### Staff: Mentor

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.