Manuals/calci/LN

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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, Failed to parse (unknown function "\appro"): {\displaystyle ln_10 = loge_10 = \appro 2.30258}
  • 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