The derivative of log x being 1/x is "clean", free of arbitrary constants. If we change away from e being the base, we lose that. The derivative of log_b x is

The derivative of log x being 1/x is "clean", free of arbitrary constants. If we change away from e being the base, we lose that. The derivative of log_b x is 1/(x ln b), where ln b is 1 if b is e. The computational aspect of it is totally compelling. The library routines are already using turns internally, so it is wasteful to go from/to radians when the caller doesn't require it, and many callers can be rewritten not to. Plus the part argument about common angles like multiples of the right angle having to be irrational numbers under radians is also compelling. Assume people have read the article and understood it.