In mathematics the logarithm is the inverse function to exponentiationThat means the logarithm of a given number x is the exponent to which another fixed number the base b must be raised to produce that number xIn the simplest case the logarithm counts the number of occurrences of the same factor in repeated multiplication. It is based on orders of magnitude rather than a standard linear scale. On a logarithmic scale equal distances represent equal ratios.
In a base ten logarithmic scale 2 cm on the scale corresponds to 10² 100.
A scale of measurement where the position is marked using the logarithm of a value instead of the actual value. Notice an interesting thing about the logarithmic scale. It is based on orders of magnitude rather than a standard linear scale. On a logarithmic scale equal distances represent equal ratios.