Jan 11, 2018 · logarithm and square inequality Ask Question Asked 7 years, 8 months ago Modified 7 years, 7 months ago

The function is as follows: $$ f (x) = \sqrt {\ln (2 \cos x)}$$ Or, in other words, the square root of $\ln (2\cos x)$ (Apologies if format is incorrect - still learning!) From what I have learnt thus far, …

interesting square of log sin integral Ask Question Asked 13 years, 6 months ago Modified 11 years, 1 month ago

From my homework I found $$\log_9 {x} = \log_3 {\sqrt {x}}$$ and besides that an explanation that to this was done by taking a square root of the base. I fail to grasp this completely.

Oct 29, 2020 · 0 I want to show square of a logarithm function. I can write it in $2$ ways: First: $\ln^2 (x), \log^2x$ Second: $ (\ln (x))^2, (\log x)^2$ The first one is easier to use. Is it ok or we …

I would like to prove the following equality $$\\sum_{n=1}^N \\mu^2(n) = \\sum_{k=1}^{\\sqrt{N}} \\mu(k) \\cdot \\lfloor N / k^2 \\rfloor$$ with N a square number. Can anyone give me a hint? …

$\\displaystyle \\int_{0}^{\\frac{\\pi}{2}} \\ln(\\sin(x))dx=-\\frac{\\pi}{2}\\ln(2)$ is an integral that is common. But, how can we show $\\displaystyle\\int_{0 ...

I'm reading about modal logic on the Stanford Encyclopedia of Philosophy. They define the modal logic S5 as propositional logic augmented with the modal operators $\square$ and …

I correct the parenthesis, sorry for the confusion. It is indeed $\log (\log X)$. I know this is an approximation, but I am confused at which step to take, or which approximation to use to …

May 7, 2015 · How do I square $\log_2 (3)$. Does it become $2\log_2 (3)$ ?