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 $\\log(25)$?

Jan 10, 2021 · 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?

Jun 2, 2022 · Does anyone know how to type logarithmic functions into Desmos graphing calculator (https://www.desmos.com/calculator) ? I need to type a function, in which y equals ...

Jan 9, 2017 · Why is the log of x x equal to the log of the absolute value of x x plus i i times π π?

I have a very simple question. I am confused about the interpretation of log differences. Here a simple example: $$\\log(2)-\\log(1)=.3010$$ With my present understanding, I would interpret the resul...

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 …

Dividing logs which have the same base changes the base of the log. That is log a log b =logb a log a log b = log b a It doesn't matter what base we were using on the left hand side. It will change the …

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 …

Nov 21, 2019 · This just depends on how the author decides to define the $\log$ function. Most authors leave $\log (0)$ undefined. You could define $\log (0)$ to be $-\infty$, but it's unclear that this is helpful.

Jun 28, 2017 · 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, …