How do you solve #ln(x)=x-2#?
Try using a graphing calculator because there is no simple algebraic solution.
When you learn calculus, you will discover approximation techniques such as the Newton-Raphson method to find the solutions to this type of problem.
Here is graph of the two lines:
You can also use a graphing calculator such as a TI-84 and use the intersection feature to get the answers.
The approximate solutions using my TI-84 are:
Hope that helped