How do you solve #ln(x)=x-2#?

Question

6561 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-09-27T17:01:44

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:

enter image source here

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:

#x ~= 0.1586#
#x ~= 3.1462#

Hope that helped