Given f(x)=log∜3⁡(x) Suppose range of f(x) is [-16,-4] Find the domain of f(x)

Описание: Finding the preimage of a function given its image. No topology required. Mathematician Sarah Brewer ‪@mathemartiste‬ covers this notion with regard to the topological definition of continuity. The answer for our problem does depend on the logarithmic function being continuous and increasing where it is defined. It is increasing provided the base of logarithm function is greater than 1. Every logarithm function calculation is more easily seen through its corresponding inverse exponential expression.
Pauly B. November 2014 points out the base of logarithm can be between 0 and 1. An alarming number of US college students are erroneously being told the Base has to be greater than 1


Given The Range Of Logarithmic Function With Irrational Base Find Domain, Closed Interval notation of real numbers is used.