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As far as I am aware there is no formula as such to calculate log. The definition of a log is n = Blog n , where n is the number being logged and B is the base to which it is being logged. This means, log n is the power to which B must be raised to give n.
It's not difficult to estimate once you decide what B is. If you choose base 10, which is what we count in usually, the first number in the log is the highest power of 10 which is lower than the number. If the number is 5000 then the 1st number in the log will be 3, as 103 = 1000 . log 5000 will be more than 3, less than 4.
You can work out approximate values for log n by plotting a graph on ordinary graph paper. If you plot 0 to 10 across and 0 to 1 up the side, then put in the two points properly known (where n=1, log1=0 and for n=10, log10=1). Easily memorable are log of 2, 4, annd 8 which are very close to 0.3, 0.6 and 0.9, but those came straight out of my calculator.
ANSWER:
There are several ways to calculate logarithms. Euler could calculate logarithms using a binary search and the geometric mean. There is another way to calculate the log using the natural logarithm, base e. I developed my own method using squares, and there is a link provided.
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What are calculators used for?
Calculators are used to calculate, or solve math problems to come up with solutions.Hope that helped!
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The calculators have been programmed in such a way that they are able to calculate sin, cos and tan without the side lengths.
What is the value of log13?
I suspect you are referring to logs to base 10 as the button to calculate this on calculators is normally labelled [log]: log1013 ~= 1.1139
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Take logarithms?
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John Napier
Why were logarithms invented?
Logarithms were invented by John Napier who was a mathematician. He invented other things too, so there was no reason why he couldn't invent the logarithms. Logarithms were invented so people could take short cuts to multiplications! :)
How do you get 1.3 from log8(16) (The 8 is a subscript)?
The answer is actually 4/3, or about 1.333. Calculators usually can only calculate logarithms in base e (2.718...) and in base 10. To calculate in another base, you use the change-of-base formula; in this case: log8(16) = log10(16) / log10(8) Or any other base; for example, using natural logarithms: log8(16) = ln(16) / ln(8)
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Mechanical calculators could perform basic arithmetic functions such as addition, subtraction, multiplication, and division. They could also perform more complex calculations such as square roots and logarithms depending on the model and design. Mechanical calculators were used before electronic calculators became prevalent.
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Annuity calculators are used to calculate the returns on investments made in annuities.
The product of 2 to the 6972593 power?
This goes way beyond the capabilities of most scientific calculators! You can calculate this with logarithms. I'll use base-10 logarithms. Call the result "x": x = 26972593 log x = log 26972593 log x = 6972593 log 2 log x = 6972593 times 0.30103 log x = 2099000 Now take antilogarithms: x = 102099000
What are calculators used for?
Calculators are used to calculate, or solve math problems to come up with solutions.Hope that helped!
How do you take roots in maths?
Nowadays many basic calculators will do square roots. Scientific calculators and computers will, of course, do cube roots and other other roots. There are other methods, such as numerical approximations (using the Newton-Raphson method), or logarithms (and antilogs).
Why do pupils have to learn about logarithm so much if it has become almost unnecessary in practice since everybody has and uses modern calculators?
Nobody needs to learn how to use logarithms to perform arithmetic, however, logarithms are still a significant part of mathematical theory, and you can do many other things with them, aside from arithmetic.
How do calculators calculate Sin Cos and Tan without side lengths?
The calculators have been programmed in such a way that they are able to calculate sin, cos and tan without the side lengths.
Where can I find financial calculators online?
A website called Mini Web Tool has a long list of financial calculators online. They have mortgage calculators, auto loan calculator, calculate interest calculators, credit card calculator, ROI calculators, profit to sales ratio calculator, and many more. They have calculators for almost every need.
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Most banking and mortgage websites will have simple mortgage calculators. These calculators are handy at being able to calculate mortgage payments based on principal, interest rate, and duration.
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They didn't have electronic calculators. Abacuses (or is it abaci? no clue... oh well...) are calculators, and they could use them to calculate things.
