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 …

Problem $\\dfrac{\\log125}{\\log25} = 1.5$ From my understanding, if two logs have the same base in a division, then the constants can simply be divided i.e $125/25 = 5$ to result in …

Jan 9, 2017 · For example, the following "proof" can be obtained if you're sloppy: \begin {align} e^ {\pi i} = -1 & \implies (e^ {\pi i})^2 = (-1)^2 & \text { (square both sides)}\\ & \implies e^ {2\pi i} = …

Jun 2, 2022 · Explore related questions logarithms graphing-functions See similar questions with these tags.

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 …

Aug 19, 2013 · 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 …

I do not understand how $\\log_2(x) + \\log_4(x) = \\log_2({x^{3/2}})$ Where does $^{3/2}$ come from? Naming the rules and steps would be 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. …

Nov 8, 2013 · "exponential decay" describes things that have a half-life and is a very common term. I'm not sure what "logarithmic decay" means, if anything.