Everything Is Logarithms

Some connections between things, which I have not seen elsewhere. Maybe they mean something? 1. The Baseless Logarithm Normally one writes a logarithm with a base, \(\log_b (x)\), to mean \[y = \log_b (x) \Lra b^y = x\] And then you can change the base of the logarithm with \[\log_b (x) = \frac{\log_a (x)}{\log_a(b)}\] Which follows from rearranging \(\log_a (x) = \log_a (b^{\log_b x}) = \log_b…