# A Simple intersection

1. Sep 4, 2005

### Paragon

Hi,:tongue2:

so, I can't solve the embarissing:

$$x^{2} = -\frac{1}{2}ln(x)$$

, where $$x \in ]0, 2]$$ or $$(0 < x \geq 2 )$$

any hep would be nice...

2. Sep 4, 2005

### iNCREDiBLE

Paragon: Equations of this kind can't be solved exactly, i.e the solutions can't be expressed in elementary functions. You can use a numerical method, such as Newton's Method, to approximate the solution.

3. Sep 6, 2005

### amcavoy

4. Jun 21, 2006

### sandeep

Hi, why dont you try with Wright omega function it suits your requirement

y+lny=z
or as suggested by others use LambertW function