Algebra - Logarithms

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Quick Reference

  • An indicial equation is one in which the power is unknown. Such equations often occur in the calculation of compound interest.
  • We use logarithms to write expressions involving powers in a different form. If you can work confidently with powers, you should have no problems handling logarithms
  • The letter e is used in many mathematical calculations to stand for a particular number known as the exponential constant. This leaflet provides information about this important constant, and the related exponential function.
  • There are a number of rules known as the laws of logarithms. These allow expressions involving logarithms to be rewritten in a variety of different ways. The laws apply to logarithms of any base, but the same base must be used throughout a calculation.

Teach Yourself

  • This booklet explains what is meant by a logarithm. It states and illustrates the laws of llogarithms. It explains the standard bases 10 and e. Finally it shows how logarithms can be used to solve certain types of equations.

Test Yourself

Video

A transcript of each video should be available in the Teach Yourself section above.

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  • Logarithms appear in all sorts of calculations in engineering and science, business and economics. Before the days of calculators they were used to assist in the process of multiplication by replacing the operation of multiplication by addition. Similarly, they enabled the operation of division to be replaced by subtraction. They remain important in other ways, one of which is that they provide the underlying theory of the logarithm function. This has applications in many fields, for example, the decibel scale in acoustics. (Mathtutor Video Tutorial)