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

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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:

$x ≅ 0.1586$ $x ~= 0.1586$
$x ≅ 3.1462$ $x ~= 3.1462$

Hope that helped

How do you solve ln(x)=x−2ln(x)=x-2?