I have read through questions like Calculate logarithms by hand and and a section of the Feynman Lecture series which talks about calculation of logarithms. I have recognized neither of them useful...

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 …

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 …

Mar 19, 2026 · I disagree that a targeted source on discrete logarithms can be replaced by a source for finite fields. We can discuss discrete logarithms in any group as a partial function. Indeed, elliptic …

Aug 14, 2020 · As the title states, I need to be able to calculate logs (base $10$) on paper without a calculator. For example, how would I calculate $\\log(25)$?

Logarithms of different bases are related: they are simple multiples of each other. Common logarithms are $\log_ {10}$ (the base is usually skipped), and the natural logarithm ($\log_e x=\ln x$) which is a …

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 …

I think only some logarithms (e.g log to the base $10$) aren't defined for $0$ and negative numbers, is that right? I'm confused because on all the websites I've seen they say "logs are not defined for $0$ …

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 …

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...