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

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 …

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 …

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 ...

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 understanding, I would interpret …

Nov 16, 2012 · The units remain the same, you are just scaling the axes. As an analogy, plotting a quantity on a polar chart doesn't change the quantities, it just 'warps' the display in some useful way. …

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 { …

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?

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 $\\log(25)$?

Dec 5, 2023 · Before then, many books had tables of base-$10$ logarithms in an appendix. Suppose you wanted the logarithm of $123$ The table gave you logarithms of numbers between $1$ and …