History of Logarithms Logarithms were invented independently by John Napier‚ a Scotsman‚ and by Joost Burgi‚ a Swiss. Napier’s logarithms were published in 1614; Burgi’s logarithms were published in 1620. The objective of both men was to simplify mathematical calculations. This approach originally arose out of a desire to simplify multiplication and division to the level of addition and subtraction. Of course‚ in this era of the cheap hand calculator‚ this is not necessary anymore but it still serves
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Mrs. Cappiello Algebra 2/Trig‚ Period 6 1 April 2012 Exponents and Logarithms An exponent is the number representing the power a given number is raised to. Exponential functions are used to either express growth or decay. When a function is raised to a positive exponent‚ it will cause growth. However‚ when a function is raised to a negative exponent‚ it will cause decay. Logarithms work differently than exponents. Logarithms represent what power a base should be raised to in order to produce a
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Logs in the Real World How do you use logarithms in the real world? Like most things that we are taught in math‚ most people would not be able to answer this question. Though many people have no clue how to use a logarithm in the real world or have ever needed to use one‚ there are still many uses for logs that are actually quite common. Three common uses for logs in the real world are calculating compound interest‚ calculating population growth or decay‚ and carbon dating. Using logs is a key
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the following: 4. 5. Convert to log form 6. Evaluate the logarithm without a calculator: 7. Solve the following equations: 8. Fill in the chart and graph: x 1/4 1/2 0 2 4 8 16 9. A biologist is researching a newly-discovered species of bacteria
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The logarithm of a number is the exponent by which another fixed value‚ the base‚ has to be raised to produce that number. For example‚ the logarithm of 1000 to base 10 is 3‚ because 1000 is 10 to the power 3: 1000 = 10 × 10 × 10 = 103. More generally‚ if x = by‚ then y is the logarithm of x to base b‚ and is written y = logb(x)‚ so log10(1000) = 3. Logarithms were introduced by John Napier in the early 17th century as a means to simplify calculations. They were rapidly adopted by navigators‚ scientists
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PRINCE ALFRED COLLEGE YEAR 10 ADVANCED MATHEMATICS TEST 4: Part 2 Thursday 12-08-09 TOPIC: Indices (Exponents) & Logarithms & modelling Name: Pastoral Care Group: 10 Maximum mark Your mark Grade % mark Class average % 60 Graphics
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HISTORY OF LOGARITHMS 1ST SOURCE: (sosmath.com) Logarithms were invented independently by John Napier‚ a Scotsman‚ and by Joost Burgi‚ a Swiss. The logarithms which they invented differed from each other and from the common and natural logarithms now in use. Napier’s logarithms were published in 1614; Burgi’s logarithms were published in 1620. The objective of both men was to simplify mathematical calculations. Napier’s approach was algebraic and Burgi’s approach was geometric. Neither
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and table lookups. However logarithms are more straightforward and require less work. It can be shown using complex numbers that this is basically the same technique. From Napier to Euler John Napier (1550–1617)‚ the inventor of logarithms. The method of logarithms was publicly propounded by John Napier in 1614‚ in a book titled Mirifici Logarithmorum Canonis Descriptio (Description of the Wonderful Rule of Logarithms). Joost Bürgi independently invented logarithms but published six years after
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the points for insect wings would be jammed up against one side. Now‚ instead of plotting length‚ what if we plot the logarithm of length? There will be as much space on the graph between 0.1 inch and 1 inch as there is between 100 inches and 1000 inches‚ because log(0.1) = -1 log(1) = 0 log(100) = 2 log(1000) = 3 So the graph will be much easier to read. Logarithms are used in a lot of places to scale numbers when there’s a big range between the smallest and the largest numbers of
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National University of Singapore EC3304: Econometrics II Semester 2‚ AY2013/14 Time allowed: 2 hours INSTRUCTIONS TO STUDENTS 1. This assessment exam contains SEVEN (7) questions and comprises THREE (3) printed pages. 2. Answer ALL questions. 3. Write the answers for each question on a new page. 4. This is a CLOSED BOOK examination. 5. Non-programmable calculators are allowed. 6. The total mark for this exam is 100. EC3304 1. (10 marks) (True of False) Using a fixed-effects regression one cannot
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