List questions from logarithms

Published on 16 Apr 2026 - 4:36

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How to calculate average growth when it's negative?

Published on 09 Apr 2026 - 12:42

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Benford's law – formula

Published on 09 Apr 2026 - 21:41

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How fast does the function $f(x) = \prod_{n=1}^\infty \sqrt[\displaystyle{2^n}]{x+2^{n-1}}$ grow in $x$?

Published on 17 Apr 2026 - 12:45

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If $ \ln(x) f'(\ln(x))=3\ln^3x , \quad \forall x > 0$, prove $f(x)=x^3, x\in R$

Published on 17 Apr 2026 - 14:09

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MLE and log MLE

Published on 17 Apr 2026 - 4:20

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Sign of $f(x)=\log(x-1)-\arctan(x-2)$

Published on 17 Apr 2026 - 11:09

402

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Expectation of $X \log X$ for $X \sim \mathsf{Poisson}(\lambda)$.

Published on 16 Apr 2026 - 12:56

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Are Quasi-Polynomial Time Functions Regularly Varying?

Published on 17 Apr 2026 - 4:56

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Prove that $\lceil \log_{10}(n) \rceil$ equals the number of digits of $n \ne 10^a$

Published on 16 Apr 2026 - 22:03

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Show that $\frac1{\log\log(\gamma^r) (\log(\gamma^r))^\eta} \ge 1/r$.

Published on 17 Apr 2026 - 4:41

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How can a function have a finite area but infinite volume when revolved around an axis?

Published on 25 Mar 2026 - 12:53

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Showing $ \displaystyle\int_{t-1}^t \log{x}\mathrm dx < \log{t} $

Published on 17 Apr 2026 - 2:57

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Solve the equation $\sqrt{x^{2}+ 8}- \sqrt{x^{2}+ 3}+ 2x^{3}- x- 2= 0$ .

Published on 16 Apr 2026 - 0:20

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Determine if the equation $xp^x=q$ has a real solution, as a function of $p$ and $q$

Published on 15 Apr 2026 - 18:22

List Question

Inequality involving $-x\log(x)$

How to calculate average growth when it's negative?

Benford's law – formula

How fast does the function $f(x) = \prod_{n=1}^\infty \sqrt[\displaystyle{2^n}]{x+2^{n-1}}$ grow in $x$?

If $ \ln(x) f'(\ln(x))=3\ln^3x , \quad \forall x > 0$, prove $f(x)=x^3, x\in R$

MLE and log MLE

Sign of $f(x)=\log(x-1)-\arctan(x-2)$

Expectation of $X \log X$ for $X \sim \mathsf{Poisson}(\lambda)$.

Are Quasi-Polynomial Time Functions Regularly Varying?

Prove that $\lceil \log_{10}(n) \rceil$ equals the number of digits of $n \ne 10^a$

Show that $\frac1{\log\log(\gamma^r) (\log(\gamma^r))^\eta} \ge 1/r$.

How can a function have a finite area but infinite volume when revolved around an axis?

Showing $ \displaystyle\int_{t-1}^t \log{x}\mathrm dx < \log{t} $

Solve the equation $\sqrt{x^{2}+ 8}- \sqrt{x^{2}+ 3}+ 2x^{3}- x- 2= 0$ .

Determine if the equation $xp^x=q$ has a real solution, as a function of $p$ and $q$

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