![]() ![]() Take a look at the series above again: you can easily mark numbers down to a decimal precision on the beginning of the logarithmic scale (like 1.5 standing right in between 1 and 2) but won't care as much at the other end of the scale: if you were asked to position the numbers 800 and 853, you'd locate them somewhere between 5, without much of a difference between the two. That's exactly what the logarithmic scale does naturally for you. Another one: you don't need a quote down to the cent when buying a car, but a few cents may matter when buying a beer. However, the same amount of money would be perceived as marginal, if you were drawing a salary of six figures. A $1,000 salary increase is truly substantial. More than this, logarithmic is also the way we often do think, too. It allows us to discern subtleties around the smaller inputs, yet respond to the bigger inputs without being overrun. Look at the two scales above: by the same amount of space, the linear scale only goes up to 10, while the logarithmic extends to 1024! And remarkably, the logarithmic scale keeps the same precision as the linear scale around the small numbers. The linear scale is the most intuitive when it represents numbers along an axis the logarithmic one is much more powerful when one needs to work with a large dynamic range. On a logarithmic scale, numbers are evenly spaced, not by an additive factor - this is the linear scale - but a multiplicative factor. First, let's explain what the logarithmic scale is. ![]()
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