Difference between revisions of "Manuals/calci/SUPERLOGARITHM"
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(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. | ||
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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> | + | *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. | ||
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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> | ||
| + | |||
| + | ==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)
- is any real number.
- is any positive real number.
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
,
is defined implicitly byand
and
Examples
- SUPERLOGARITHM(23,6) = 1.3123124142065792
- SUPERLOGARITHM(190,32) = 1.1196675373624405
- SUPERLOGARITHM(-76,4) = -2