Difference between revisions of "Manuals/calci/LN"
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*This function gives the Natural Logarithm of a number. | *This function gives the Natural Logarithm of a number. | ||
*<math>LN</math> is the logarithm in which the base is the irrational number <math>e</math> (<math>e</math>= 2.71828...). | *<math>LN</math> is the logarithm in which the base is the irrational number <math>e</math> (<math>e</math>= 2.71828...). | ||
− | *For example, <math>ln_10 = loge_10 = \ | + | *For example, <math>ln_10 = loge_10 = \approx 2.30258</math> |
*Also called Napierian logarithm. | *Also called Napierian logarithm. | ||
*The constant <math>e</math> is called Euler's number. | *The constant <math>e</math> is called Euler's number. |
Revision as of 22:59, 15 December 2013
LN(n)
- where is the positive real number.
Description
- This function gives the Natural Logarithm of a number.
- is the logarithm in which the base is the irrational number (= 2.71828...).
- For example,
- Also called Napierian logarithm.
- The constant is called Euler's number.
- The Natural Logarithm is denoted by or .
- where is the Positive real number.
- The ln(x) is the inverse function of the exponential function e^ln(x)=x if x>0.
ln(e^x)=x
Examples
- =LN(15) = 2.708050201
- =LN(8.3) = 2.116255515
- =LN(1) = 0
- =LN(0) = INFINITY
- =LN(-20) = NAN
- =LN(exp(5)) = 5
- =EXP(LN(7)) = 7