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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*=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 35: | Line 40: | ||
==References== | ==References== | ||
[http://en.wikipedia.org/wiki/Natural_logarithm Natural Logarithm] | [http://en.wikipedia.org/wiki/Natural_logarithm Natural Logarithm] | ||
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| + | |||
| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | |||
| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 04:52, 8 June 2020
LN(Number)
- where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Number}
is the any positive real number.
- LN() returns the natural logarithm of a number.
Description
- This function gives the Natural Logarithm of a number.
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle LN} is the logarithm in which the base is the irrational number Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle e} (Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle e} = 2.71828...).
- For example, Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ln_10 = loge_10 \approx 2.30258}
- It was formely also called Hyperbolic logarithm.
- And also called Napierian logarithm.
- The constant Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle e} is called Euler's number.
- The Natural Logarithm is denoted by Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ln(x)} or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle log e(x)} .
- where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x} is the Positive real number.
- The Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ln(x)} is the inverse function of the exponential function Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle e^{ln(x)}=x} if Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x>0} .
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ln(e^x)=x}
ZOS
- The syntax is to calculate Natural logarithm in ZOS is Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle LN(number)}
.
- where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle number} 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