Abstract

This chapter describes the exponential functions and the logarithms. The chapter discusses the functions that cannot be expressed in terms of the elementary algebraic operations of addition, subtraction, multiplication, division, and root extractions. The exponential functions are used to obtain the logarithm functions. The chapter highlights logarithm function, whose domain is the set of positive real numbers. Each positive number has a logarithm. Each real number is the logarithm of a unique positive number. Therefore, a positive number can be identified by its logarithm. The logarithm function is so well tabulated that any positive number can be identified by its logarithm. Logarithms satisfy certain rules of importance in theory and in computation. The chapter discusses computations with logarithms. When the data is analyzed, it is decided in advance on a certain degree of accuracy, no more than the accuracy of the measurements. The development of pocket calculators makes an amazing amount of computing power available.

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