I have trouble to solve the following simple equation with sympy.
Sympy seems to take way too lot of time.

import sympy as sp
sp.solve(sp.Eq(1000/(sp.exp(log(39) - 1000*k) + 1),100), k)

The solution is log(39)/1000 – log(3)/500 as can be verified either manually or with Matlab, say.

What can one do to ‘help’ sympy to solve this equation for k?

Thanks a lot for your time!