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.
Show health and safety information
Please be aware that resources have been published on the website in the form that they were originally supplied. This means that procedures reflect general practice and standards applicable at the time resources were produced and cannot be assumed to be acceptable today. Website users are fully responsible for ensuring that any activity, including practical work, which they carry out is in accordance with current regulations related to health and safety and that an appropriate risk assessment has been carried out.
