logarithmic scale A logarithmic scale is a method for graphing and analyzing a large range of values in a compact form Unlike commonly used linear functions that show an increase or decrease along equivalent or equally spaced out increments log scales are exponential which means increasing quickly by large numbers
You need to understand that a logarithmic scale has a different system of displaying the numbers which are not evenly spaced as on a standard scale By knowing how to read a logarithmic scale you can more effectively read and represent data in A scale of measurement where the position is marked using the logarithm of a value instead of the actual value It is useful because any equal multiplication has the same distance See below that the distance from 1 to 2 is the same as the distance from 2
logarithmic scale
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First visualize our scale as being on a ruler where each number is 1 cm apart In a base ten logarithmic scale 2 cm on the scale corresponds to 10 100 3 cm corresponds to 10 1000 Obviously if we change the base of the logarithm the spacing between each number doesn t matter it is always one cm between each one A logarithmic scale is a scale used when there is a large range of quantities Common uses include earthquake strength sound loudness light intensity spreading rates of epidemics and pH of solutions It is based on orders of magnitude rather than a standard linear scale
Start practicing and saving your progress now khanacademy math alge Understanding how logarithmic scale is different from linear scale and why it could be useful Watch the Scientific quantities are often expressed as logarithms of other quantities using a logarithmic scale For example the decibel is a unit of measurement associated with logarithmic scale quantities It is based on the common logarithm of ratios 10 times the common logarithm of a power ratio or 20 times the common logarithm of a voltage ratio
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By the end of this post you will learn all about logarithmic scales their difference from linear scales how to interpret explain and plot them We will also look at a few real life examples where a logarithmic scale is used So fundamentally the way we perceive pitch is logarithmic VI HART It s just fundamentally logarithmic If you want to have all your notes on the piano be right next to each other instead of having a piano where you have one key for C here and one key for C here and the next C is going to be over here
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