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8. Prove the following statements. (1) logp b x = 2log x (2) log p1 b p x = log x (3) log 4 x2 = log p x 9. Given that log2 = x, log3 = y and log7 = z, express the following expressions
LOGARITHMS PRACTICE SIMPLIFYING EXPRESSIONS. single logarithm. log 2 7 + log 2 2. log 2 20 − log 2 4. 3log 5 2 + log 5 8. 2log 6 8 − 5log 6 2. log 10 8 + log 10 5 − log 10 0.5. log 2 14 , log 2 5 , log 5 64 , log 6 2 , log 10 80. single logarithm.
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.
Examples – Now let’s use the steps shown above to work through some examples. These examples will be a mixture of logarithmic equations containing only logarithms and logarithmic equations containing terms without logarithms. Example 1 : Solve 3 log(9x2)4 + =
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.
This topic introduces logarithms and exponential equations. Logarithms are used to solve exponential equations, and so are used along with exponential functions when modelling
Logarithms Practice Test (with detailed Solutions) Topics include logarithm laws, graphing, exponential equations, growth and decay models, ½ life, and more… Mathplane.com