# Find the solution of this ln equation

1. Feb 10, 2009

### transgalactic

find the solution of this ln equation:
ax=lnx

i tried:
$$e^{(ax)}=x$$
$$e^{(ax)}-x=0$$

what to do next??
i thought of building a taylor series around 0 for ln
but ln(0) is undefined

??

Last edited: Feb 10, 2009
2. Feb 10, 2009

### Toftarn

I'm not entirely sure, but I think such equations must be solved with a numerical method, such as Newton-Rhapson.

3. Feb 10, 2009

### epenguin

When there is any solution there are two I think.