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The number e, 2.718281828..., was chosen as the "natural" base for logarithms and powers because it is the only number where the deriviative of e to the x is x...

d/dy ex = x

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Q: Why is e a natural logarithm?
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Related questions

What is a natural logarithm?

That is a logarithm to the base "e", where "e" is a number that is approximately 2.718.


What is a natural logarithm used for?

The natural logarithm (ln) is used when you have log base e


Compare and contrast common logarithm with natural logarithm?

The natural logarithm is the logarithm having base e, whereThe common logarithm is the logarithm to base 10.You can probably find both definitions in wikipedia.


What is twice the base of the natural logarithm?

The "base of the natural logarithm" is the number known as "e". It is approximately 2.718.


What is the logarithm of 2346?

The common logarithm (base 10) of 2346 is 3.37. The natural logarithm (base e) is 7.76.


In the continuous compounding equation e is the natural log to the base 10?

A "natural logarithm" is a logarithm to the base e, notto the base 10. Base 10 is sometimes called "common logarithm". The number e is approximately 2.71828.


How do you write natural logarithms?

A natural logarithm or a logarithm to the base e are written as: ln(X) as opposed to loge(X)


What is lnx?

ln(x) is the natural logarithm of x (also known as logarithm to the base e, where e is approximately 2.718).


What is the difference between the common logarithm and the natural logarithm?

A logarithm is the exponent to which a number called a base is raised to become a different specific number. A common logarithm uses 10 as the base and a natural logarithm uses the number e (approximately 2.71828) as the base.


What is difference between natural logarithm and log base 10?

The natural logarithm is calculated to base e, where e is Euler's constant. For any number, x loge(x) = log10(x)/log10(e)


What is the logarithm of 1.5?

The logarithm of 1.5 is approximately 0.1760912591... Your logarithm is base 10, and the natural logarithm of 1.5 (base e), is approximately 0.4054651081... Example base: 8 Approximately: 0.1949875002...


What does ln stand for in the Steinhart hart equation?

In the Steinhart-Hart equation, "ln" stands for the natural logarithm function. The natural logarithm is denoted by "ln" to distinguish it from the common logarithm, which is typically denoted by "log".