SOLUTION: e^x-x=2

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: e^x-x=2      Log On


   



Question 1002272: e^x-x=2
Answer by Edwin McCravy(20059) About Me  (Show Source):
You can put this solution on YOUR website!
e%5Ex-x=2

If you haven't studied the Lambert w-function, 
then the only way to solve this is with technology,
such as with a graphing calculator.

Draw the graph of the left side y+=+e%5Ex-x and the
graph of the right side y+=+2, and find where they
intersect



They intersect at

(-1.8414056604369606378...,2) and 

(1.1461932206205825852...,2)

So the two solutions are approximately

-1.8414056604369606378... and 1.1461932206205825852...

Edwin