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.

>>1
In any practical career, all you need is to approximate it.  Learn a minimum of mathematics because studying math for math's sake is a waste of time.

>>3

Failed math.

>>2

Here's the thing.  It isn't.  It's for niggercocks and jews and spam &c.  And they wouldn't expect you to solve something like this in an Amerikan high school from scratch.  They'd very carefully lead you through steps and put something almost identical on a quiz, exam, etc.

"Solve this equation" is boring, but nobody ever posts an explanation, either.

The reality of sci is that it's a bunch of diffident know nothings jerking off.  That plus people who actually are knowledgeable who can't be bothered to post what just might be interesting content.

>>1
You can't express an exact answer per se but you can make use of a function called the Lambert W function, which is also called ProductLog.  Wikipedia explains it.

a*x + ln(x) = t gives x = (ProductLog[a*e^t])/a

>>2
It's for your mama's balls if I want