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    σχετικά με: logarithm mathcentre worksheet 2
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  1. 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.

  2. Section 1. Logarithms. The mathematics of logarithms and exponentials occurs naturally in many branches of science. It is very important in solving problems related to growth and decay. The growth and decay may be that of a plant or a population, a crystalline structure or money in the bank.

  3. 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.

  4. Exponential functions and logarithm functions are important in both theory and practice. In this unit we look at the graphs of exponential and logarithm functions, and see how they are related.

  5. Logarithms can have different bases, but the most common ones are base 10 (called the common logarithm) and base e (called the natural logarithm, where e is approximately 2.718). The logarithmic function is the inverse of the exponential function, making it a useful tool for dealing with exponential growth and decay.

  6. Question 2 Simplify each of the following logarithmic expressions, giving the final answer as a single logarithm. a) log 5 log 23 3+ b) log 24 log 82 2− c) log 3 2log 45 5+ d) 3log 8 3log 64 4− e) log 2 3log 3 log 0.256 6 6− +( ) log 102, log 32, log 485, log 4 (6427), log 6 (8) 27

  7. Given that log 2 = x, log 3 = y and log 7 = z, express the following expressions in terms of x, y, and z. (1) log 12 (2) log 200. 14. (3) log (4) log 0:3. 3. (5) log 1:5 (6) log 10:5 6000. (7) log 15 (8) log. 7.

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    σχετικά με: logarithm mathcentre worksheet 2
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