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 …

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 …

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 …

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 …

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?

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

Nov 20, 2015 · I am curious about simplifying the following expression: $$\log \left (\sum_\limits {i=0}^ {n}x_i \right)$$ Is there any rule to simplify a summation inside the log?

Nov 8, 2013 · I am a little unclear on whether they are distinctly different or whether this is a 'square is a rectangle, but rectangle is not necessarily a square' type of relationship.

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 $\\log(25)$?

Mar 21, 2016 · Close to $0$ a logarithm diverges to $-\infty$... How close to zero do you need to go? A fast (and quite rough) approximation is a decimal logarithm is minus a number of zeros …