What is the point of logarithms? How are they used? [closed]
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 …
What algorithm is used by computers to calculate logarithms?
The GNU C library, for example, uses a call to the fyl2x() assembler instruction, which means that logarithms are calculated directly from the hardware. So the question is: what algorithm is used by …
When do we use common logarithms and when do we use natural …
May 14, 2021 · 3 Currently, in my math class, we are learning about logarithms. I understand that the common logarithm has a base of 10 and the natural has a base of e. But, when do we use them? For …
Why are logarithms not defined for 0 and negatives?
I think only some logarithms (e.g log to the base 10 10) aren't defined for 0 0 and negative numbers, is that right? I'm confused because on all the websites I've seen they say "logs are not defined for 0 0 …
Why roots aren't the inverse of exponentiation but logarithms?
May 27, 2024 · I think it's easy to see it when we look at the inverse of the function " f(x) =ax f (x) = a x " but I wonder if there's other way to look at it besides just analyzing the function. I was taught my …
Multiplying two logarithms (Solved) - Mathematics Stack Exchange
Apr 30, 2016 · 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 …
Easy way to compute logarithms without a calculator?
Feb 14, 2016 · I would need to be able to compute logarithms without using a calculator, just on paper. The result should be a fraction so it is the most accurate. For example I have seen this in math class …
Calculate logarithms by hand - Mathematics Stack Exchange
You could build a table of certain logarithms: 10^ (-1/2), 10^ (-1/4), etc. Twenty such entries would allow you to calculate logs to 5 places by multiplying your target number by the appropriate power of ten …
education - how to see the logarithm as the inverse function of the ...
For the layman it might help to know that logarithms were used as a tool for multiplication back when ships sailed by celestial navigation. The sum of the logarithms of two numbers is the logarithm of …
Intuitive use of logarithms - Mathematics Stack Exchange
I am trying to gain a more intuitive feeling for the use of logarithms. So, my questions: What do you use them for? Why were they invented? What are typical situations where one should think: "he...