When you visualize ratios, naturally, the reference point is 1. Let’s say you want to visualize the ratios between *a* and *b*.

Let `$a = 10$`

and `$b = \frac{1}{10}$`

.

Then, we have

`$$\frac{a}{b} = \frac{10}{\frac{1}{10}} = 100 \tag{1}\label{eq1}$$`

and

`$$\frac{b}{a} = \frac{\frac{1}{10}}{10} = \frac{1}{100} \tag{2}\label{eq2}$$`

If you do not use log scale, then the difference between 1 and `$\frac{a}{b}$`

is much larger than the difference between 1 and `$\frac{b}{a}$`

. However, intuitively, the two differences should be the same, right? Using log scale solves this issue.

Last modified on 2023-01-18