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Question 1 Simplify each of the following logarithmic expressions, giving the final answer as a single logarithm. a) log 7 log 22 2+ b) log 20 log 42 2− c) 3log 2 log 85 5+ d) 2log 8 5log 26 6− e) log 8 log 5 log 0.510 10 10+ − log 142, log 52, log 645, log 26, log 8010
•solve simple equations requiring the use of logarithms. Contents 1. Introduction 2 2. Why do we study logarithms ? 2 3. What is a logarithm ? if x = an then log a x = n 3 4. Exercises 4 5. The first law of logarithms log a xy = log a x+log a y 4 6. The second law of logarithms log a xm = mlog a x 5 7. The third law of logarithms log a x y ...
This topic introduces logarithms and exponential equations. Logarithms are used to solve exponential equations, and so are used along with exponential functions when modelling
logs.” “The log of a quotient is the difference of the logs.” The students see the rules with little development of ideas behind them or history of how they were used in conjunction with log tables (or slide rules which are mechanized log tables) to do almost all of the world’s scientific and
20 Μαρ 2014 · PDF | Worked Examples on Indices and Logarithms | Questions and Answers on Indices and Logarithms | Find, read and cite all the research you need on ResearchGate.
Solve each of the following equations, leaving your final answers as expressions involving natural logarithms in their simplest form. a)e 4x=. b)e 92y=. c)2e 1 9−z+ =. d)4e 7 572w− =. e)2e 7 243−3t− =.
In this booklet we will demonstrate how logarithmic functions can be used to linearise certain functions, discuss the calculus of the exponential and logarithmic functions and give some useful applications of them.
