Difference between revisions of "Manuals/calci/SUPERLOGARITHM"

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==Description==
 
==Description==
 
*This function shows the super logarithm of the given number.
 
*This function shows the super logarithm of the given number.
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*In <math>SLOG(Number,Base)</math>,<math>Number</math> is the value to find log value.
+
*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.  
−
*SLOG is the super-logarithm which is one of the two inverse functions of tetration.  
+
*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.
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*<math>Base</math> is any positive real number.
 
*<math>Base</math> is any positive real number.
  
−
==Description==
+
==Examples==
−
*This function shows the super logarithm of the given number.
+
#SUPERLOGARITHM(23,6) = 1.3123124142065792
−
*In <math>SLOG(Number,Base)</math>,<math>Number</math> is the value to find log value.
+
#SUPERLOGARITHM(190,32) = 1.1196675373624405
−
*<math>Base</math> is the base value of the Log.
+
#SUPERLOGARITHM(-76,4) = -2
−
*SLOG is the super-logarithm which is one of the two inverse functions of tetration.
+
 
−
*This is also called Tetra logarithm.
+
==See Also==
−
*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.
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*[[Manuals/calci/LOG| LOG]]
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*The super-logarithm, written <math>slog_{b}{z}</math> is defined implicitly by
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*[[Manuals/calci/SLOG| SLOG]]
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<math>slog_{b}(b^{z}) = slog_{b}{z}+1 </math> and
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*[[Manuals/calci/LOGINV| LOGINV]]
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<math> slog_{b}(1) = 0</math>
+
 
 +
==References==
 +
*[https://en.wikipedia.org/wiki/Super-logarithm Super logarithm]
 +
 
 +
*[[Z_API_Functions | List of Main Z Functions]]
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*[[ Z3 |  Z3 home ]]

Revision as of 13:45, 10 May 2017

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 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.

Examples

  1. SUPERLOGARITHM(23,6) = 1.3123124142065792
  2. SUPERLOGARITHM(190,32) = 1.1196675373624405
  3. SUPERLOGARITHM(-76,4) = -2

See Also

References

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