Exponential and Logarithmic Functions
We begin this work with the historical development and motivations that promoted the evolution of calculations pertinent to exponential and logarithmic functions. We formally approach definitions and properties and the functions have been characterized and organized in a logical manner. We define the number $e$, noting that the logarithmic function on this basis manifests itself naturally in various everyday situations. The adopted format enables the graphic construction and modeling of phenomena through the definition and study of their characteristics. To this end, we model some problems for which we suggest an interdisciplinary approach to make the content interesting and even ludic for students, such as the radioactive decay of carbon-14, the use of the Richter Scale, financial investments at compound interest, and body cooling. At the end, we present natural and decimal logarithm tables and their use in the calculation of numerical expressions, as well as considerable theorems in the development of the proofs.