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darthchocobo
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Can someone explain to me when to use natural log or common log? I understand that natural log gives creates a base e and the common base 10 but i don't understand why there are 2 different ones.
Not quite true. Base 2 is the "natural" base for logarithms in much of information theory and the theory of algorithms.pakmingki said:Basically, you will only be using natural or common logs.
mathwonk said:always use natural log, never use common log.
A natural log, or ln, is a logarithm with a base of e, where e is a mathematical constant approximately equal to 2.71828. It is the inverse function of the exponential function, and is commonly used in calculus and other mathematical applications.
A natural log uses a base of e, while a common log uses a base of 10. This means that a natural log is the power to which e must be raised to equal a given number, while a common log is the power to which 10 must be raised to equal a given number.
Natural logs are useful in situations where the rate of growth or decay of a quantity is proportional to the quantity itself. They are also commonly used in statistics and finance to transform data into a more manageable scale.
The natural log of a number x is calculated by taking the logarithm of x with a base of e, or ln(x). This can be done using a calculator or by using the ln function in a programming language or software.
Yes, it is possible for a natural log to be negative. The natural log of any number between 0 and 1 will be negative, and the natural log of a negative number is undefined. However, most mathematical applications only use natural logs of positive numbers.