Logarithm Formula
A logarithm is defined as the power to which a number is raised to yield some other values. Logarithms are the inverse of exponents. There is a unique way of reading the logarithm expression. For example, bx = n is called as ‘x is the logarithm of n to the base b.
There are two parts of the logarithm: Characteristic and Mantissa. The integral part of a logarithm is called ‘Characteristic’ and the decimal part which is non-negative is called ‘Mantissa’. The characteristic can be negative but mantissa can’t. For example log10(120) = 2.078 ( 2 is characteristic and .078 is mantissa).
Logarithm Formula
Logarithm was invented in the 17th century by Scottish mathematician John Napier (1550-1617). The Napier logarithm was the first to be published in 1614. Henry Briggs introduced a common (base 10) logarithm. John Napier’s purpose was to assist in the multiplication of quantities that were called sines.
Table of Content
- Logarithm Formula
- Properties of Logarithm
- Product Formula of Logarithms
- Quotient Formula of Logarithms
- Power Formula of Logarithms
- Change of Base Formula
- Other Logarithm Formulas
- Properties of Natural Log
- Product Rule
- Quotient Rule
- Reciprocal Rule
- Log of Power
- Natural Log of e
- Log of 1
- Log Formulas Derivation
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