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log 100 = 2. Because. 102 = 100. This is an example of a base-ten logarithm. Log2 8 = 3. Because. 23 = 8. In general, you write log followed by the base number as a subscript. Log. Log a = r. LN. LN a = r.
In mathematics, the logarithm is the inverse function to exponentiation. That 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 x.
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.
Mathematically, log10(x) is equivalent to log(10, x). See Example 1. The logarithm to the base 10 is defined for all complex arguments x 0. Log10(x) rewrites logarithms to the base 10 in terms of the natural logarithm: log10(x) = LN(x)/LN(10).
The logarithm of an exponential number is the exponent times the logarithm of the base. The logarithm of a number that is equal to its base is just 1. Rule 6: Log of Exponent Rule. The logarithm of an exponential number where its base is the same as the base of the log equals the exponent.
Logarithms are mainly the inverse of the exponential function. Historically, Math scholars used logarithms to change division and multiplication problems into subtraction and addition problems, before the discovery of calculators.
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