Why is light attenuation not linear?

[DocMorris]

I was wondering why light transmission through a solution decreases exponentially and not linear with the concentration of the absorbing compound in solution. I know the Beer-Lambert law, but I do not really understand the reason for this logarithmic rather than linear dependence. Can anyone explain this in simple words using examples a non-physicist can understand? :)Many thaks in advance.

 

[mfb]

If there is less light, there is less absorption.
Both are proportional to each other.