logarithms

logarithms : In mathematics, the logarithm of a number to a given base is the power or exponent to which the base must be raised in order to produce the number. For example, the logarithm of 1000 to the base 10 is 3, because 3 is the number of 10s that must be multiplied together to get 1000: thus 10 × 10 × 10 = 1000; the base 2 logarithm of 32 is 5 because 5 is how many 2s must be multiplied together to get 32: thus 2 × 2 × 2 × 2 × 2 = 32. In the language of exponents: 10 3  = 1000, so log 10 1000  = 3, and 2 5  = 32, so log 2 32 = 5. The logarithm of x to the base b is written log b( x) or, if the base is implicit, as log( x). So, for a number x, a base b and an exponent y, An important feature of logarithms is that they reduce multiplication to addition, by the formula: That is, the logarithm of the product of two numbers is the sum of the logarithms of those numbers. The use of logarithms to facilitate complicated calculations was a significant mot....   More from Wikipedia

logarithms : The natural logarithm is the logarithm to the base e, where e is an irrational constant approximately equal to 2.718 281 828. The natural logarithm is generally written ln( x), log e( x) or, sometimes, just log( x). In simple terms, the natural logarithm of a number x is the power to which..   More from Wikipedia

logarithms : The Richter magnitude test scale (or more correctly local magnitude ML scale) assigns a single number to quantify the size of an earthquake. See also: Earth & Climate Earthquakes Natural Disasters Matter & Energy Nanotechnology Materials Science It is a base-10 logarithmic scale obtained by calculating the logarithm of the combined horizontal amplitude of the largest displacement from zero on a seismometer output.. For more information about the topic Richter magnitude scale, read the full article at Wikipedia.org, or see the following related articles: Moment magnitude scale — The moment magnitude scale was introduced in 1979 by Tom Hanks and Hiroo Kanamori as a successor to the Richter scale and is used by seismologists to ...  > read more North Anatolian Fault — The North Anatolian Fault is one of the most energetic earthquake zones in the world. Turkey is set on a minor tectonic plate which is being squeezed ...  > read more Great Chilean Earthquake — The Great Chilean Ea....   More from Science Daily

  An introduction to logarithms

  Properties of Logarithms - Part 1 For more free math videos, visit JustMathTutoring.com - I have organized links to over 400 FREE math videos made by me!

Question : I understand on a very basic level how to work with logarithms. For example, I know that log5(125) is 3. However, how might I determine x in the following: log9(x) = 3 logx(512) = 3 (if the syntax of this were logx(y) = z, wouldn't it just be x = z-th root of y, i.e. cube root of 512?)

Answer : Question 1 log9(x) =3 cube root x = 9 x=9^3 = 9*9*9 = 729 Question 2 Yes, it is the cube root of 512 Answer is 8..   More from Yahoo Answers

Question : Could someone please explain the difference between a logarithm of a product and the product of logarithm? I thought that the logarithm of a product is when you multiply something by the product in the parenthesis ex: log(a*b) and the product of logarithms is when you take the answer of to logarithms like log(j) * log(v). Could someone please explain this to me and provide examples of each by step? I'm really confused and I don't want to use a calculator because it dosen't explain how I would ..

Answer : log(a*b) = log a + logb so, logarithm of a product is the sum of the individual factors. But the product of logarithms is simply muliplying the logarithms of individual factors...   More from Yahoo Answers

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