For example, an audio amplifier will usually have a frequency band ranging from 20 Hz to 20 kHz and representing the entire band using a decade log scale is very convenient. Graphical representation and analysis ĭecades on a logarithmic scale, rather than unit steps (steps of 1) or other linear scale, are commonly used on the horizontal axis when representing the frequency response of electronic circuits in graphical form, such as in Bode plots, since depicting large frequency ranges on a linear scale is often not practical. =1.079775 – or each step is 7.9775% larger than the last.
The numbers so expressible with an exponent equal to b span a single decade, from 10 b to 10 b + 1. More generally, to write a number in the form a × 10 b, where 1 < a < 10 and b is an integer, is to express it in scientific notation, and a is called the significand or the mantissa, and b is its exponent. 007 is denoted alternatively by 7.0 × 10 -3 then it is said that the number is represented in scientific notation.