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 = \appro 2.30258</math>
+
*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

See Also

References

Natural Logarithm