Evaluate log(40/81)⁡(80/729 ∛45)

Описание: Yes, it is OK to have a logarithmic base between 0 and 1. Evaluating A Logarithm With A Fractional Base And Irrational Input Argument. Only the definition of log function was used and NO properties of log functions were needed. ‪@MrDanMuscarella‬ also covered the possibility of non standard logarithmic bases although his approach tediously used properties of logs rather than more simply using the definition of a logarithm along with prime factorization.
Math pundit Dave Peterson wrote insightfully about why a log function cannot have negative base, but it can in fact. He is right that such a function would have a significantly restricted domain, but it would still be a function albeit "pathological" in the sense the nice laws of logarithms would fail in many cases if a negative base was allowed. Thanks to chess player and math tutor Sotiris Chatzimiltis from Cyprus. I believe this gentleman is a Google Scholar who studies the incidence and remedies of online and OTB chess cheating, statistician Jeffrey S. Rosenthal self-characterized himself as mild mannered when he chose to publicize his involvement in chess cheating investigations.Singh Manish Calcutta, India excellent with Knight Maneuvers,