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2:29 9:18 Suggested clip How to calculate log of any number in just some seconds. How to YouTubeStart of suggested client of suggested clip How to calculate log of any number in just some seconds. How to
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.
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.
When we take the logarithm of both sides of ELN(XY)=ELN(x)+LN(y), we obtain LN(ELN(XY))=LN(ELN(x)+LN(y)). The logarithms and exponential cancel each other out (equation (4)), giving our product rule for logarithms, LN(XY)=LN(x)+LN(y).
The logarithmic function y = Logan is defined to be equivalent to the exponential equation x = a. y = Logan only under the following conditions: x = a, a > 0, and a1. It is called the logarithmic function with base a. Consider what the inverse of the exponential function means: x = a.
The “Log” function on a graphing or scientific calculator is a key that allows you to work with logarithms. Logarithms are ways to figure out what exponents you need to multiply into a specific number.
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