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 <math>ln(x)</math> is the inverse function of the exponential function <math>e^ln(x)=x</math> if <math>x>0</math>.
+
*The <math>ln(x)</math> is the inverse function of the exponential function <math>e^{ln(x)}=x</math> if <math>x>0</math>.
 
*<math>ln(e^x)=x</math>
 
*<math>ln(e^x)=x</math>
  

Revision as of 23:46, 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

See Also

References

Natural Logarithm