11 - Logarithms
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Abstract:

Publisher SummaryThis chapter presents the applications of a new notation for exponents. The properties of logarithms are actually the properties of exponents. Logarithms were earlier used extensively to simplify tedious calculations. As handheld calculators are so common now, logarithms are seldom used in connection with computations. Nevertheless, there are many other applications of logarithms to both science and higher mathematics. A common logarithm is a logarithm with a base of 10. As common logarithms are used so frequently, it is customary, in order to save time, to omit notating the base. The chapter presents two special identities that arise from the definition of logarithms. Each is useful in proving the properties for evaluating some simple logarithmic expressions.

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