When seen in a logarithmic chart, I always tought fitting it to sqrt(x) was much more appropriate. Maybe we could have some fitting-analysis?
Superficially, the argument is: is logarithmic growth sustainable in the long run? In the long run, no it is not, unless you can always create more of the good (i.e. fiat money). So that rules out Bitcoin. But we've absolutely seen such growth over the span of several years.
The next layer was - well, new platforms, paradigms - they
are capable of this logarithmic growth for many, many years (TV, telephone, internet). Bitcoin, should it succeed, will fall into this category.
Now granted, the answer to this question won't matter for at least a few more years - we still have so much adoption to do...but at some point, the shape of the end of that curve will become very, very important.
Logarithmic growth can't be the long term fit. Sqrt(x) seems like it would never have the rate-of-increase-is-increasing quality, which we are currently seeing.
Only recently (from BitchicksHusband?) did I see someone mention a sigmoid curve...which seems to be a proper fit, both in terms of the rapid rate of acceleration on the early end, and the eventual, necessary levelling.
Wish I knew for sure. Right now, the answer doesn't change my plan - buckle up and hold on :-)
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