How exactly does a logarithmic scale work?

Question

I’m unable to detach my mind from the linear scale imbedded in my head, how to make sense of a logarithmic increase?

In: 13

Answer 1

On a linear scale or graph, the measurements (ticks/ hashes) are usually measured in units. Comparing two plot points or values is generally how many more or less compared each other. (Addition or subtraction)

Point A = 5 and Point B = 8. From zero, to where you find 5, you get a sense of scale of how far 2×5 would be. Point B isn’t quite that far. A graph makes it intuitive roughly what value point B would have if it wasn’t labeled as 8.

With log scales, the comparisons are more like a proportion or factor comparison. (Multiply / divide)

Often a log scale is based on a factor of 10. Meaning, instead of -adding- 10 units for a certain distance, you’d multiply by 10 instead.