Change of base formula for Tetration

[tommy1729]

Note that if we're attempting to do a change of base from base a to base b, then we could use a double-logarithmic scale in a third base c. Base e is the simplest base to work with, for two reasons: first, logarithms and exponentiations are all using base e under the hood anyway, and second, the double natural logarithm of my cheta function is the iteration function of the decremented natural exponentiation \( f(z) = e^z-1 \) which we've discussed elsewhere.

???

how does change of base formula for tetration and exp(z) -1 relate ???

i would recommend -- in case this is important and proved -- that more attention is given to it on the forum and/or FAQ