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Logarithm - Simple English Wikipedia, the free encyclopedia

Logarithm

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Logarithms or logs are a part of mathematics. A log is the inverse (opposite) of exponentiation; this is, it tells what exponent (power) is needed to make a certain number. So since

2^3= 2 \times 2 \times 2=8,

the logarithm to a base 2 of 8 is 3, written as:

\log_2(8) = 3\

Logarithms to base 10 are known as common logs and are usually written without the base; for example:

\log(100) = 2\ because 10^2 = 100\
\log(25.6) = 1.4082\ because 10^(1.4082) = 25.6

Seeing that 10^1.41 = 25.704 and even 10^1.408 = 25.585, you might notice that it's important to keep at least four digits in the mantissa (the part of the number that follows the decimal on a logarithm) if precision is important.


[change] Common bases for logarithms

base abbreviation Comments
2 lg Very common in Computer Science
e ln The base of this is the Eulerian constant e, which is 2.718...
10 log
any other number, n logn This is the general way to write logarithms


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