It is hard to believe, taking out some severe doom-like event to the US dollar, to see the price of Bitcoin reaching $100k by 2020. Not even to talk about the valuations beyond the 2020. Isn't it that you try to estimate the trend for much longer time period (next 10, 20, 50 years), having the data from a relatively short period of time (2010 till now) and thus committing a huge prediction error, due to the insufficient amount of data?
As said before, this log regression just tries to have a better estimation of bitcoin's value than the linear one. Specially for a 2 or 3 years horizon.
For a longer term value, it's worth to take a look at James d'Angelo's "Bitcoin Price Model".
So far you had like 2081% above the line and 81% to the downside, which indicates that the fit to the curve is far from acceptable in terms of prediction error. Meaning probably you don't have enough 'training data' to make any reliable predictions for the future.
Just to illustrate what I am talking about, try a small exercise: take only first two years of data and make the regression based on that. Compare that to the real results in terms of errors. You will probably see even worse results in terms of how far it is from reality.
Unless you're willing to propose some sort of non-standard regression function that makes sense as applied to the Bitcoin market, complaints about 2081% and -81% are unfounded here. The fact that the Bitcoin market has volatility with respect to the regression trend does not mean that this chart offers nothing worthwhile in terms of representing reality. To get an equation to follow the price more closely, you'd have to throw in something more exotic, like an oscillation component or something, and doing so just to get a better fit is often not the best tactic.