# Tetration Forum

Full Version: (Again) fixpoint outside Period
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If the base b is sufficiently Large then log_b(z) = z has no solution right ?

So how does that work out for fixpoint methods ?
Well $b^z = z$ has infinitely many solutions, so for some branch of $\log_b$ there is always a fixed point.
It seems the fixpoints imaginary value Goes down fast enough to stay in the strip. Nice.

Concluded from Lambert W.

Regards

Tommy1729