Originally Posted by

**rory** Hi everyone,

I have my Fractal exam on Tuesday so I'm getting a bit worried! My problem isn't really about the geometry itself, just a basic log problem that I probably should have learnt years ago....

Problem Background:

Finding the Hausdorff dimension of an iterated function system, after composing mappings, I end up with an expression which needs to be solved using logs.

__Problem:__

**Solve the equation 2*(1/9)^s+ 2*(1/4)^***s *= 1 for *s*.

In this example, the solution sheet gives *s* = 0.802, but I have no idea how to get to that. Any help much appreciated!