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Encyclopedia > Logarithm
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Logarithm - Wikipedia, the free encyclopedia (2698 words)
Logarithms to various bases: red is to base e, green is to base 10, and purple is to base 1.7.
Therefore, logarithms are useful for making lengthy numerical operations easier to perform and, before the advent of electronic computers, they were widely used for this purpose in fields such as astronomy, engineering, navigation, and cartography.
The discrete logarithm is a related notion in the theory of finite groups.
Natural logarithm - Wikipedia, the free encyclopedia (997 words)
The natural logarithm, formerly known as the hyperbolic logarithm, is the logarithm to the base e, where e is equal to 2.718281828459...
In other words, the logarithm function is a bijection from the set of positive real numbers to the set of all real numbers.
Logarithms can be defined to any positive base other than 1, not just e, and they are always useful for solving equations in which the unknown appears as the exponent of some other quantity.
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