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*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.
*The super-logarithm, written <math>slog_{b}{z}</math> is defined implicitly by
*The super-logarithm, written <math>slog_{b}{z}</math> is defined implicitly by
<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==
#SLOG(45,5) = 1.534887252451906
#SLOG(187,3) = 2.3195001328620837
#SLOG(-342,4) = -2
==See Also==
*[[Manuals/calci/LOG| LOG]]
*[[Manuals/calci/SUPERLOGARITHM| SUPERLOGARITHM]]
*[[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 ]]