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Statistics Definitions > A logarithm is the power to which a number is raised get another number. For example, take the equation 102 = 100. The superscript 2 here can be expressed as an exponent (102 = 100) or as a base 10 logarithm.
There are two main reasons to use logarithmic scales in charts and graphs. The first is to respond to skewness towards large values. i.e., cases in which one or a few points are much larger than the bulk of the data. The second is to show percent change or multiplicative factors.
Logarithms. Statistics Definitions > A logarithm is the power to which a number is raised get another number. For example, take the equation 102 = 100. The superscript 2 here can be expressed as an exponent (102 = 100) or as a base 10 logarithm.
The Why: Logarithmic transformation is a convenient means of transforming a highly skewed variable into a more normalized dataset. When modeling variables with non-linear relationships, the chances of producing errors may also be skewed negatively.
Usually log(x) means the base 10 logarithms. It can, also be written as log10(x). Ln(x) means the base e logarithm. It can, also be written as loge(x). Ln(x) tells you what power you must raise e to obtain the number x.
A logarithmic scale (or log scale) is a 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.
The logarithm, or log, is the inverse of the mathematical operation of exponentiation. This means that the log of a number is the number that a fixed base has to be raised to in order to yield the number. Conventionally, log implies that base 10 is being used, though the base can technically be anything.
The natural logarithm of a number is its logarithm to the base of the mathematical constant e, where e is an irrational and transcendental number approximately equal to 2.718281828459. The natural logarithm of x is generally written as LN x, loge x, or sometimes, if the base e is implicit, simply log x.
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