List questions from logarithms

Published on 09 Apr 2026 - 17:07

138

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How to solve $x = e^{1/(4x)}$?

Published on 12 Apr 2026 - 1:38

62

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Question about the $\ln$ of a product of primes

Published on 16 Apr 2026 - 21:07

104

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What happens when you calculate $\log$ of a $\log$?

Published on 16 Apr 2026 - 11:10

142

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Why is $ \frac12 \cdot (\ln 4)^2 = 2 \cdot(\ln 2)^2 $?

Published on 16 Apr 2026 - 16:44

117

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Is this logarithm-based proof rigorous?

Published on 11 Apr 2026 - 4:35

84

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Showing upper semicontinuity of a function

Published on 17 Apr 2026 - 1:34

108

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Is it a convex function? $A(\theta) = \log (\sum_{i=1}^n e^{θ⋅f(i)}) - \log (\sum_{i=1}^m e^{θ⋅f(i)})$

Published on 16 Apr 2026 - 3:45

85

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Logarithm simplification from a double integral question

Published on 08 Apr 2026 - 23:37

654

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Validity of the change-of-base formula for all bases

Published on 12 Apr 2026 - 4:04

108

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Solve $ 1 - \sqrt{1 - 8\cdot(\log_{1/4}{x})^2} < 3\cdot \log_{1/4}x $

Published on 17 Apr 2026 - 2:59

494

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What is the rule called where $e^{\ln {x}}=x$?

Published on 13 Apr 2026 - 20:22

128

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Proving that $\log(k)$ is irrational if $k\neq 10^n$

Published on 16 Apr 2026 - 8:50

224

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Closed-form solution to $y = \frac{\ln(a+x)}{\ln(b+x)}$?

Published on 13 Apr 2026 - 18:29

62

Views

Are natural logs, natural in any sense?

Published on 14 Apr 2026 - 10:45

List Question

What is $a^{(\log_ab)^2}$?

How to solve $x = e^{1/(4x)}$?

Question about the $\ln$ of a product of primes

What happens when you calculate $\log$ of a $\log$?

Why is $ \frac12 \cdot (\ln 4)^2 = 2 \cdot(\ln 2)^2 $?

Is this logarithm-based proof rigorous?

Showing upper semicontinuity of a function

Is it a convex function? $A(\theta) = \log (\sum_{i=1}^n e^{θ⋅f(i)}) - \log (\sum_{i=1}^m e^{θ⋅f(i)})$

Logarithm simplification from a double integral question

Validity of the change-of-base formula for all bases

Solve $ 1 - \sqrt{1 - 8\cdot(\log_{1/4}{x})^2} < 3\cdot \log_{1/4}x $

What is the rule called where $e^{\ln {x}}=x$?

Proving that $\log(k)$ is irrational if $k\neq 10^n$

Closed-form solution to $y = \frac{\ln(a+x)}{\ln(b+x)}$?

Are natural logs, natural in any sense?

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