Feb 14, 2016 · I would need to be able to compute logarithms without using a calculator, just on paper. The result should be a fraction so it is the most accurate. For example I have seen this …

Dec 4, 2020 · Hence, $$ \log_a (a^x) = x \text { and } a^ {\log_a {x}}=x $$ are both true by definition. The hardest part is trying to explain why these two conceptions of logarithms, while …

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 the result as follows: the …

In mathematics, $\log n$ is most often taken to be the natural logarithm. The notation $\ln (x)$ not seen frequently past multivariable calculus, since the logarithm base $10$ finds relatively little …

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?

I know for a fact that it is not $\\log x + \\log y$, but Im unsure as to how to proceed.. I have checked the basic log properties but nowhere do they give an example of a statement like the …

May 2, 2015 · I think something is wrong with the derivation you have - notably, the first equation, $\log (1-x)=-\sum_ {n=1}^ {\infty}x^n$ is not true - you probably want a log around the sum on …

Apr 23, 2017 · I have seen people look at log (several digit number) and rattle off the first couple of digits. I can get the value for small values (aka the popular or easy to know roots), but is …

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 ...

Yes one can deduce that $\log a \log b$ is also $\log (b^ {\log a})$. These equations are not mentioned much, perhaps because they can easily be deduced from the other laws (and it …