Difference between revisions of "Manuals/calci/LN"
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− | <div | + | <div style="font-size:30px">'''LN(Number)'''</div><br/> |
+ | *where <math>Number</math> is the any positive real number. | ||
+ | **LN() returns the natural logarithm of a number. | ||
− | + | ==Description== | |
+ | *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...). | ||
+ | *For example, <math>ln_10 = loge_10 \approx 2.30258</math> | ||
+ | *It was formely also called Hyperbolic logarithm. | ||
+ | *And also called Napierian logarithm. | ||
+ | *The constant <math>e</math> is called Euler's number. | ||
+ | *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. | ||
+ | *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> | ||
− | < | + | ==ZOS== |
− | + | *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) | ||
+ | {{#ev:youtube|OCirVf3pulA|280|center|Natural Logarithm}} | ||
− | + | ==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== | |
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− | + | {{#ev:youtube|eavkIcjXchI|280|center|Natural Logarithm}} | |
− | + | ==See Also== | |
− | + | *[[Manuals/calci/LOG | LOG]] | |
− | + | *[[Manuals/calci/EXP | EXP]] | |
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− | + | ==References== | |
+ | [http://en.wikipedia.org/wiki/Natural_logarithm Natural Logarithm] | ||
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− | + | *[[Z_API_Functions | List of Main Z Functions]] | |
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− | + | *[[ Z3 | Z3 home ]] | |
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Latest revision as of 04:52, 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