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

Sep 27, 2015

Try using a graphing calculator because there is no simple algebraic solution.

#### Explanation:

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:

$x \cong 0.1586$
$x \cong 3.1462$

Hope that helped