Logarithmic equation

How do you solve an equation like:

ln(x) + .3x = 1

? I'm not really sure what to do from here. I know I can just stick it in my TI-83 but I'm looking for an exact answer.

/sci/ isn't for high school math. It's for real math. Differential algebraic geometry. Functors from bundles of sheaves to matroids of schemes. Etc.