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- What is the point of logarithms? How are they used?
Logarithms are defined as the solutions to exponential equations and so are practically useful in any situation where one needs to solve such equations (such as finding how long it will take for a population to double or for a bank balance to reach a given value with compound interest) Historically, they were also useful because of the fact that the logarithm of a product is the sum of the
- Logarithms with negative bases for real numbers
Thank you for the answer I am aware of the general solutions for complex numbers In my question above I am specifically asking to the definition for real numbers It is in that scenario that I have always only understood logarithms as defined for positive numbers, although there seems to be solutions for negative bases My apologies if that wasn't clear
- Natural log of a negative number - Mathematics Stack Exchange
My teacher told me that the natural logarithm of a negative number does not exist, but $$\ln (-1)=\ln (e^ {i\pi})=i\pi$$ So, is it logical to have the natural logarithm of a negative number?
- How is $\\ln$ pronounced by English speakers?
Here I was exposed to so many variations: Saying the two letters l n Saying "log" "logarithm" Saying "natural log" Saying "log e" All of the above were native-English speakers from different parts of the world No one pronounced it like we Israelis do, as "lan" As for your "linn", I believe it was a New Zealander Their e's sound like i's
- Calculate logarithms by hand - Mathematics Stack Exchange
I'm thinking of making a table of logarithms ranging from 100-999 with 5 significant digits By pen and paper that is I'm doing this old school What first came to mind was to use $\\log(ab) = \\lo
- What algorithm is used by computers to calculate logarithms?
I would like to know how logarithms are calculated by computers The GNU C library, for example, uses a call to the fyl2x() assembler instruction, which means that logarithms are calculated directl
- How do I square a logarithm? - Mathematics Stack Exchange
How do I square a logarithm? Ask Question Asked 10 years, 7 months ago Modified 2 years, 5 months ago
- Why is Eulers number used as a base for logarithms?
Shortly after the work of Napier, Briggs, inspired by that work, produced tables of the base $10$ logarithm Related tables were used for computations for centuries
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