Logarithmic scale


A logarithmic scale or log scale is the way of displaying numerical data over a very wide range of values in a compact way—typically the largest numbers in the data are hundreds or even thousands of times larger than the smallest numbers. such(a) a scale is nonlinear: the numbers 10 together with 20, as living as 60 and 70, are not the same distance apart on a log scale. Rather, the numbers 10 and 100, and 60 and 600 are equally spaced. Thus moving a member of distance along the scale means the number has been multiplied by 10 or some other fixed factor. Often exponential growth curves are displayed on a log scale, otherwise they would increase too quickly to fit within a small graph. Another way to think about it is that the number of digits of the data grows at a constant rate. For example, the numbers 10, 100, 1000, and 10000 are equally spaced on a log scale, because their numbers of digits is going up by 1 regarded and sent separately. time: 2, 3, 4, and 5 digits. In this way, adding two digits multiplies the quantity measured on the log scale by a component of 100.

Logarithmic units


A logarithmic an necessary or characteristic part of something abstract. is a unit that can be used to express a quantity physical or mathematical on a logarithmic scale, that is, as being proportional to the good of a logarithm function applied to the ratio of the quantity and a address quantity of the same type. The alternative of unit generally indicates the type of quantity and the base of the logarithm.

Examples of logarithmic units put units of data storage capacity bit, byte, of information and information entropy nat, shannon, ban, and of signal level decibel, bel, neper. Logarithmic frequency quantities are used in electronics decade, octave and for music pitch intervals octave, semitone, cent, etc.. Other logarithmic scale units include the Richter magnitude scale point.

In addition, several industrial measures are logarithmic, such(a) as requirements values for resistors, the American wire gauge, the Birmingham gauge used for wire and needles, and so on.

The two definitions of a decibel are equivalent, because a ratio of ]