Difference between revisions of "Manuals/calci/LN"
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*The Natural Logarithm is denoted by <math>ln(x)</math> or <math>log e(x)</math>. | *The Natural Logarithm is denoted by <math>ln(x)</math> or <math>log e(x)</math>. | ||
*where <math>x</math> is the Positive real number. | *where <math>x</math> is the Positive real number. | ||
− | *The ln(x) is the inverse function of the exponential function e^ln(x)=x if x>0. | + | *The <math>ln(x)</math> is the inverse function of the exponential function <math>e^ln(x)=x</math> if <math>x>0</math>. |
− | ln(e^x)=x | + | *<math>ln(e^x)=x</math> |
==Examples== | ==Examples== |
Revision as of 23:19, 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 is the inverse function of the exponential function if .
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