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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------------------------------------------------- History Predecessors The Babylonians sometime in 2000–1600 BC may have invented the quarter square multiplication algorithm to multiply two numbers using only addition‚ subtraction and a table of squares. However it could not be used for division without an additional table of reciprocals. Large tables of quarter squares were used to simplify the accurate multiplication of large numbers from 1817 onwards until this was superseded by the use of
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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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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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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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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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Earthquakes and Logarithms Earthquakes are responsible for a wast majority of natural hazards on our planet. This natural geological phenomena are almost impossible to predict‚ and they occur usually in zones of the planet that are prone to movement in the uppermost crust of the earth. Certain areas are more likely to experience earthquakes‚ and also the aftermath of the earthquakes can be just as destructive or sometimes even more. Different methods of measuring earthquakes have been implemented
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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 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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