Difference between revisions of "Manuals/calci/LN"
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− | <div style="font-size:30px">'''LN( | + | <div style="font-size:30px">'''LN(Number)'''</div><br/> |
− | *where <math> | + | *where <math>Number</math> is the any positive real number. |
+ | **LN() returns the natural logarithm of a number. | ||
==Description== | ==Description== | ||
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*<math>ln(e^x)=x</math> | *<math>ln(e^x)=x</math> | ||
− | ==ZOS | + | ==ZOS== |
*The syntax is to calculate Natural logarithm in ZOS is <math>LN(number)</math>. | *The syntax is to calculate Natural logarithm in ZOS is <math>LN(number)</math>. | ||
− | + | **where <math>number</math> is the any positive real number. | |
*For e.g.,LN(20..23) | *For e.g.,LN(20..23) | ||
+ | {{#ev:youtube|OCirVf3pulA|280|center|Natural Logarithm}} | ||
==Examples== | ==Examples== | ||
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*=LN(8.3) = 2.116255515 | *=LN(8.3) = 2.116255515 | ||
*=LN(1) = 0 | *=LN(1) = 0 | ||
− | *=LN(0) = INFINITY | + | *=LN(0) = -INFINITY |
*=LN(-20) = NAN | *=LN(-20) = NAN | ||
*=LN(exp(5)) = 5 | *=LN(exp(5)) = 5 | ||
*=EXP(LN(7)) = 7 | *=EXP(LN(7)) = 7 | ||
+ | |||
+ | ==Related Videos== | ||
+ | |||
+ | {{#ev:youtube|eavkIcjXchI|280|center|Natural Logarithm}} | ||
==See Also== | ==See Also== | ||
Line 34: | Line 40: | ||
==References== | ==References== | ||
[http://en.wikipedia.org/wiki/Natural_logarithm Natural Logarithm] | [http://en.wikipedia.org/wiki/Natural_logarithm Natural Logarithm] | ||
+ | |||
+ | |||
+ | |||
+ | *[[Z_API_Functions | List of Main Z Functions]] | ||
+ | |||
+ | *[[ Z3 | Z3 home ]] |
Latest revision as of 05:52, 8 June 2020
LN(Number)
- where is the any positive real number.
- LN() returns the natural logarithm of a 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,
- It was formely also called Hyperbolic logarithm.
- And 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 .
ZOS
- The syntax is to calculate Natural logarithm in ZOS is .
- where is the any positive real number.
- For e.g.,LN(20..23)
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
Related Videos
See Also
References