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The logarithm is denoted "log b x" (pronounced as "the logarithm of x to base b", "the base-b logarithm of x", or most commonly "the log, base b, of x "). An equivalent and more succinct definition is that the function log b is the inverse function to the function x ↦ b x {\displaystyle x\mapsto b^{x}} .
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- Natural Logarithm
The natural logarithm of a number is its logarithm to the...
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- List of logarithmic identities
List of logarithmic identities. In mathematics, many...
- Binary Logarithm
The natural logarithm of a number is its logarithm to the base of the mathematical constant e, which is an irrational and transcendental number approximately equal to 2.718 281 828 459. [1] The natural logarithm of x is generally written as ln x, log e x, or sometimes, if the base e is implicit, simply log x.
Ο λογάριθμος ενός αριθμού y ως προς βάση b είναι η δύναμη στην οποία πρέπει να υψωθεί ο b ώστε να παραχθεί ο y. Με άλλα λόγια ο λογάριθμος του y με βάση το b είναι η λύση x της εξίσωσης [2] Ο ...
A logarithm is the inverse of the exponential function. Specifically, a logarithm is the power to which a number (the base) must be raised to produce a given number. For example, \log_2 64 = 6, log2 64 = 6, because 2^6 = 64. 26 = 64. In general, we have the following definition: z z is the base- x x logarithm of y y if and only if x^z = y xz = y.
List of logarithmic identities. In mathematics, many logarithmic identities exist. The following is a compilation of the notable of these, many of which are used for computational purposes.
A logarithm tells what exponent (or power) is needed to make a certain number, so logarithms are one of the inverse operations of exponentiation (the other one being roots). Historically, they were useful in multiplying or dividing large numbers.
Introduction to Logarithms. Logarithms Properties. Powerful use of logarithms. Some of the real powerful uses of logarithms come down to never having to deal with massive numbers. ex. : would be a pain to have to calculate any time you wanted to use it (say in a comparison of large numbers).
