Read about super-logarithms | 2 Discussions | Page 1

  1. K

    B Find ##f(x)## such that f(f(x))=##log_ax##

    I was thinking about extending the definition of superlogarithms. I think maybe that problem can be solved if we find a function ##f## such that ##fof(x)=log_ax##. Is there some way to find such a function? Maybe the taylor series could be of some help. Or is there some method to find a...
  2. K

    B How to check if this limit is correct or not?

    I can't prove it and I've got it by some intuition because not many properties of superlogarithms are known. I don't think anyone can prove it but is there some way to at least check if it is correct. The limit is: $$\lim_{h\rightarrow0}slog_{[log_xx+h]}[log_{f(x)}f(x+h)]$$ where ##slog## is the...
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