To the people who use log-scales for visualization of discrete events (e.g. 0, 1, 2, 3, 4, ...):

How do you deal with a value of 0?

Do you use the same distance between "0" and 1 as between 1 and 10?

On a different note:

In a lot of cases I prefer using something like sqrt(data) or data^(0.x) because a) it smoothly supports the case of 0 and b) it squashes the data less than log.

Regarding b): In a lot of cases I think that log() squashes the information too much and you easily lose a sense of scale. A scaling funtion like sqrt(data) still squashes data with high values but it maintains the feeling of "Oh, this value is much higher than that value" better than log(data).