List questions from logarithms

Published on 10 Apr 2026 - 16:48

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Closed form of sum with ceil of logarithm.

Published on 10 Apr 2026 - 23:30

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Series of functions $\log(1+x^{2n})$

Published on 13 Apr 2026 - 1:42

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How to show that $n^2<(\ln n)^n$ holds when $n$ is sufficiently large?

Published on 12 Apr 2026 - 13:06

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A counter example that I cannot find an analytic branch of Logarithm

Published on 14 Apr 2026 - 14:18

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Definite integral of ln(x) from 1 to a as the limit of a Riemann sum

Published on 16 Apr 2026 - 11:22

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Contest math question about logarithmic and exponential functions

Published on 12 Apr 2026 - 5:52

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Is there a proof that $\ln(3)>1$ that doesn't use the fact $3>e$ or that $e$ is irrational?

Published on 15 Apr 2026 - 12:31

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When does there an analytic function $f:F\rightarrow\mathbb{C}$ has an analytic logarithm?

Published on 16 Apr 2026 - 4:56

120

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What is this "periodic" sequence called?

Published on 17 Apr 2026 - 6:42

195

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Simple proof that $x^{\log y} = y^{\log x}$.

Published on 16 Apr 2026 - 4:19

152

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Extraordinary Numbers

Published on 26 Mar 2026 - 6:02

124

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Calculate $i^{\log(−)}$ (principal value)

Published on 14 Apr 2026 - 17:01

49

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Showing $ (2/3)^{\log_{3/2}(n/n_0)} =n_0/n $

Published on 16 Apr 2026 - 17:26

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$\frac{\Gamma\left(x+\frac{1}{x}+1\right)}{2}\geq \left(\Gamma(x+1)\Gamma\left(\frac{1}{x}+1\right)\right)x^{-\frac{1}{2\pi}\ln\left(x\right)},x>0$

Published on 16 Apr 2026 - 9:16

List Question

How do slope and intercept change for a line when x and y are logged?

Closed form of sum with ceil of logarithm.

Series of functions $\log(1+x^{2n})$

How to show that $n^2<(\ln n)^n$ holds when $n$ is sufficiently large?

A counter example that I cannot find an analytic branch of Logarithm

Definite integral of ln(x) from 1 to a as the limit of a Riemann sum

Contest math question about logarithmic and exponential functions

Is there a proof that $\ln(3)>1$ that doesn't use the fact $3>e$ or that $e$ is irrational?

When does there an analytic function $f:F\rightarrow\mathbb{C}$ has an analytic logarithm?

What is this "periodic" sequence called?

Simple proof that $x^{\log y} = y^{\log x}$.

Extraordinary Numbers

Calculate $i^{\log(−)}$ (principal value)

Showing $ (2/3)^{\log_{3/2}(n/n_0)} =n_0/n $

$\frac{\Gamma\left(x+\frac{1}{x}+1\right)}{2}\geq \left(\Gamma(x+1)\Gamma\left(\frac{1}{x}+1\right)\right)x^{-\frac{1}{2\pi}\ln\left(x\right)},x>0$

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