2020年8月14日 · 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 $\\log(25)$?

2021年1月10日 · 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 …

2013年8月19日 · 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 …

2017年1月9日 · 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} …

2022年6月2日 · 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 ...

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 …

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 …

2019年11月21日 · 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 …

2017年6月28日 · 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. …

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.