Nov 29, 2013 · Does anyone know a closed form expression for the Taylor series of the function $f(x) = \\log(x)$ where $\\log(x)$ denotes the natural logarithm function?

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} = 1 & \text { …

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?

Another popular method for computing logarithms was to compute the exponential function (inverse of the desired logarithm function) of an initial guess. Exponential function is a rapidly converging power …

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 ${\\log5} = 1.5$...

I've slaved over the Wikipedia page for logarithms, but I just don't get the mathematical notations. If someone could let me know the steps to find $b$ in plain english, I'd be eternally grateful!

Mar 22, 2014 · 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 …

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

May 26, 2020 · I want start by saying that my math skills aren't great and I'm trying to learn. I took a look at square root. Squaring the number means x^2. And if I understood the square root correctly it doe...

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 $\\log(25)$?