Difference between revisions of "Manuals/calci/SUPERLOGARITHM"
(Created page with "<div style="font-size:30px">'''SLOG (Number,Base)'''</div><br/> *<math> Number</math> is any real number. *<math>Base</math> is any positive real number. ==Description== *Thi...") |
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| + | <div style="font-size:30px">'''SUPERLOGARITHM (Number,Base)'''</div><br/> | ||
<div style="font-size:30px">'''SLOG (Number,Base)'''</div><br/> | <div style="font-size:30px">'''SLOG (Number,Base)'''</div><br/> | ||
*<math> Number</math> is any real number. | *<math> Number</math> is any real number. | ||
| Line 5: | Line 6: | ||
==Description== | ==Description== | ||
*This function shows the super logarithm of the given number. | *This function shows the super logarithm of the given number. | ||
| − | *In <math> | + | *In <math>SUPERLOGARITHM(Number,Base)</math>,<math>Number</math> is the value to find log value. |
*<math>Base</math> is the base value of the Log. | *<math>Base</math> is the base value of the Log. | ||
| − | * | + | *Super-logarithm is one of the two inverse functions of tetration. |
*This is also called Tetra logarithm. | *This is also called Tetra logarithm. | ||
*The two exponentiation function powers and exponentials have two inverse functions roots and logarithms,the two tetration functions tetra powers and tetra exponentials have two inverse functions tetra roots and tetra logarithms also called super roots and super logarithms. | *The two exponentiation function powers and exponentials have two inverse functions roots and logarithms,the two tetration functions tetra powers and tetra exponentials have two inverse functions tetra roots and tetra logarithms also called super roots and super logarithms. | ||
| Line 13: | Line 14: | ||
<math>slog_{b}(b^{z}) = slog_{b}{z}+1 </math> and | <math>slog_{b}(b^{z}) = slog_{b}{z}+1 </math> and | ||
<math> slog_{b}(1) = 0</math> | <math> slog_{b}(1) = 0</math> | ||
| + | |||
| + | ==Examples== | ||
| + | #SUPERLOGARITHM(23,6) = 1.3123124142065792 | ||
| + | #SUPERLOGARITHM(190,32) = 1.1196675373624405 | ||
| + | #SUPERLOGARITHM(-76,4) = -2 | ||
| + | |||
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|v=Z5myJ8dg_rM&t=8s|280|center|Log}} | ||
| + | |||
| + | ==See Also== | ||
| + | *[[Manuals/calci/LOG| LOG]] | ||
| + | *[[Manuals/calci/SLOG| SLOG]] | ||
| + | *[[Manuals/calci/LOGINV| LOGINV]] | ||
| + | |||
| + | ==References== | ||
| + | *[https://en.wikipedia.org/wiki/Super-logarithm Super logarithm] | ||
| + | |||
| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 13:39, 4 February 2019
SUPERLOGARITHM (Number,Base)
SLOG (Number,Base)
- 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 any real 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 Base} is any positive real number.
Description
- This function shows the super logarithm of the given number.
- In 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 SUPERLOGARITHM(Number,Base)} ,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 value to find log value.
- 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 Base} is the base value of the Log.
- Super-logarithm is one of the two inverse functions of tetration.
- This is also called Tetra logarithm.
- The two exponentiation function powers and exponentials have two inverse functions roots and logarithms,the two tetration functions tetra powers and tetra exponentials have two inverse functions tetra roots and tetra logarithms also called super roots and super logarithms.
- The super-logarithm, written 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 slog_{b}{z}} is defined implicitly 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 slog_{b}(b^{z}) = slog_{b}{z}+1 }
and
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 slog_{b}(1) = 0}
Examples
- SUPERLOGARITHM(23,6) = 1.3123124142065792
- SUPERLOGARITHM(190,32) = 1.1196675373624405
- SUPERLOGARITHM(-76,4) = -2