Variable Base Logarithmic Inequality, log base x^3 (x-4) strictly less than 1/6

Rewriting exponentially was essential step in a problem similar to the challenge @Mathsmerizing presented January 29,2020. Some caution necessary when considering log bases greater than 0 and less than 1. One of the quadratic solutions was rejected since value was not in the domain of the log function. Daytona State College math instructional resources an excellent foundational guide for this abstract domain/range problem