The Theory of Logarithms: Part Two
This is the second part of the unit on The Theory of Logarithms from the Continuing Mathematics Project. It assumes that the user has completed the first part of the unit.
The objectives of the unit are to enable students to:
(i) acquire the concept of a logarithm as an extension of the concepts of a 'power' and of an 'index';
(ii) understand how the four rules of logarithms are derived, and be able to apply them;
(iii) appreciate that the base 'ten' of common logarithms is a consequence of our denary system of writing numerals;
(iv) become aware of the importance of the natural base 'e';
(v) associate the notation ex with the notation exp(x) and with the infinite series they stand for.
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