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.
−
*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>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>
−
*<math> Number</math> is any 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.
+
 
−
*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.
+
==Related Videos==
−
*The super-logarithm, written <math>slog_{b}{z}</math> is defined implicitly by
+
 
−
<math>slog_{b}(b^{z}) = slog_{b}{z}+1 </math> and
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{{#ev:youtube|v=Z5myJ8dg_rM&t=8s|280|center|Log}}
−
<math> slog_{b}(1) = 0</math>
+
 
 +
==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 14:39, 4 February 2019

SUPERLOGARITHM (Number,Base)


SLOG (Number,Base)


  • is any real number.
  • is any positive real number.

Description

  • This function shows the super logarithm of the given number.
  • In , is the value to find log value.
  • 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 is defined implicitly by
 and

Examples

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


Related Videos

Log

See Also

References

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