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== | ||
*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 | + | *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 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>. | *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 ln(x) is the inverse function of the exponential function e^ln(x)=x if x>0. | + | *The <math>ln(x)</math> is the inverse function of the exponential function <math>e^{ln(x)}=x</math> if <math>x>0</math>. |
| − | ln(e^x)=x | + | *<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== | ==Examples== | ||
| Line 17: | Line 25: | ||
*=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== | ||
*[[Manuals/calci/LOG | LOG]] | *[[Manuals/calci/LOG | LOG]] | ||
*[[Manuals/calci/EXP | EXP]] | *[[Manuals/calci/EXP | EXP]] | ||
| − | |||
==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 04:52, 8 June 2020
LN(Number)
- where is the any positive real number.
- LN() returns the natural logarithm of a number.
is the any 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,
- 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 .
is the logarithm in which the base is the irrational number 
(
or 
.
is the Positive real number.
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)
.
is the any positive real number.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