(adsbygoogle = window.adsbygoogle || []).push({}); Eh??? How do I solve xe^(a/x) = b?

1. The problem statement, all variables and given/known data

xe^(-a/x) = b, where a and b are numbers that are given and I'm trying to solve for x.

3. The attempt at a solution

All I can think of are Taylor series, which won't work in this case because a is ~4000 and b = ~0.1, so I'd need to expand to a lot of terms.

I could try to do it numerically, but would rather not... I know the answer ends up being ~520.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Eh? How do I solve xe^(a/x) = b?

**Physics Forums | Science Articles, Homework Help, Discussion**