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After reading this text and / or viewing the video tutorial on this topic you should be able to: explain what is meant by a logarithm. state and use the laws of logarithms. solve simple equations requiring the use of logarithms.
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.
The laws of logarithms. The three main laws are stated here: . First Law. log A + log B = log AB. . This law tells us how to add two logarithms together. Adding log A and log B results in the logarithm of the product of A and B, that is log AB. For example, we can write. log10 6 + log10 2 = log10(6 × 2) = log10 12.
Guides (1) "Just the Maths" authored by the late Tony Hobson, former Senior Lecturer in Mathematics of the School of Mathematical and Information Sciences at Coventry University, is a collection of separate mathematics units, in chronological topic-order, intended for foundation level and first year degree level in higher education where ...
In Show steps you will find a video explaining the rules of logarithms by going through simplification of logs of numbers rather than algebraic expressions.
provide the underlying theory of the logarithm function. This has applications in many fields, for example, the decibel scale in acoustics. In order to master the techniques explained here it is vital that you do plenty of practice exercises so that they become second nature.
Indices & Logarithms Explained with Worked Examples. Shefiu S. Zakariyah, PhD, CEng, SMIEEE, MIET, AMIMA, AInstCT. Worked Examples on Indices and Logarithms | Questions and Answers on Indices and Logarithms. Download Free PDF. View PDF. Erciyes Journal of Education.