What is the point of logarithms? How are they used? [closed]
Logarithms are a convenient way to express large numbers. (The base-10 logarithm of a number is roughly the number of digits in that number, for example.) Slide rules work because adding and subtracting logarithms is equivalent to multiplication and division. (This benefit is slightly less important today.) Lots of things "decay logarithmically".
logarithms - Approximating Logs and Antilogs by hand
There are also methods to compute logarithms of trigonometric functions: trigonometric formulas are very useful to simplify many computations by logarithms. There are also special tables, like a $20$ decimals one in Hoüel tables of logarithms, to compute the log or antilog of a number to $20$ decimal places, with only a very small table (one ...
logarithms - The difference between log and ln - Mathematics …
In the early '70s, calculators became widespread. Before then, many books had tables of base-$10$ logarithms in an appendix. Suppose you wanted the logarithm of $123$ The table gave you logarithms of numbers between $1$ and $10$, so you found $\log_{10}1.23= 0.089905\ldots$ and concluded that $\log_{10} 123 = 2.089905\ldots\;{}$.
Newest 'logarithms' Questions - Mathematics Stack Exchange
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logarithms - What is the reason to introduce and study logarithmic ...
Logarithms were originally invented to make multiplication (as in, actually computing the product of two numbers by hand) easier. They were developed by one man, John Napier, in the 16th century, specifically as a method for doing by-hand multiplication.
Multiplying two logarithms (Solved) - Mathematics Stack Exchange
2016年4月30日 · I was wondering how one would multiply two logarithms together? Say, for example, that I had: $$\log x·\log 2x < 0$$ How would one solve this? And if it weren't possible, what would its domain be? Thank you! (I've uselessly tried to sum the logs together but that obviously wouldn't work. Was just curious as to what it would give me)
logarithms - Is there an approximation to the natural log function …
Borchardt's algorithm was a popular way to compute logarithms by FORTH programmers in the last century. Another popular method for computing logarithms was to compute the exponential function (inverse of the desired logarithm function) of an initial guess. Exponential function is a rapidly converging power series, so it is quickly computed.
Motivation for Napier's Logarithms - Mathematics Stack Exchange
A good reference is John Napier and the invention of logarithms, 1614, by E. W. Hobson (1914).You can also read the original source works by Napier: Mirifici logarithmorum canonis descriptio (English: A description of the admirable table of logarithmes, 1616), and Mirifici logarithmorum canonis constructio (English: The construction of the wonderful canon of …
logarithms - How is $\ln$ pronounced by English speakers?
2017年6月28日 · I have always heard an expression like $\\ln (x^2)$ pronounced aloud as "ell-enn ex squared". That is, the name of the function $\\ln$ is read aloud as a two-letter abbreviation. However, I recentl...
How do I square a logarithm? - Mathematics Stack Exchange
2015年5月7日 · logarithms; Share. Cite. Follow edited Mar 25, 2018 at 19:24. user168764 asked May 7, 2015 at 10:19 ...