List questions from logarithms

Published on 11 May 2026 - 6:16

115

Views

"Multi-stage logarithm" series expansion (e.g. $a^x+b^x+c^x=d$)

Published on 13 May 2026 - 20:22

386

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Using Logarithms To "Straighten the Data"

Published on 13 Apr 2026 - 0:32

353

Views

How to prove that for $- x\log{(x)}\le\sqrt{x}$

Published on 14 Apr 2026 - 2:06

78

Views

Multi-logarithm generalisation with multipliers

Published on 11 May 2026 - 14:33

153

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Logarithmic equation $\log^2_{4}{x}-\log_{2}{x}+4=0$

Published on 17 Apr 2026 - 4:18

108

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How to prove that $- x\ln{(x)}\le\sqrt{x}$ for $0<x<1$

Published on 15 Apr 2026 - 2:06

122

Views

How to show that ${(\ln n)}^{\ln n}=n^{\ln(\ln n)}$

Published on 11 Apr 2026 - 23:56

43

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How to evaluate $a^b - b^a = x$

Published on 10 Apr 2026 - 16:56

63

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Algebraic or only graphical solution in AoPS logarithm problem?

Published on 15 Apr 2026 - 15:34

384

Views

Stirling's Approximation for a probability distribution

Published on 10 May 2026 - 13:46

312

Views

Logistic regression - Transposing formulas

Published on 13 May 2026 - 1:17

42

Views

For what conditions of $a$ and $b$, it follows that $ \lim_{x \to \infty} \frac{\ln^a x}{x^b}=0 $?

Published on 16 Apr 2026 - 0:46

744

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Ascending order of log and power numbers

Published on 11 May 2026 - 5:23

96

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If $0<x<\infty$, prove that $0<\frac{1}{e^x-1}-\frac{1}{x}+\frac{1}{2}<\frac{x}{12}$

Published on 17 Apr 2026 - 1:01

List Question

Approximating $ | \ln(x)| $ by $-\ln(x)$ near 0

"Multi-stage logarithm" series expansion (e.g. $a^x+b^x+c^x=d$)

Using Logarithms To "Straighten the Data"

How to prove that for $- x\log{(x)}\le\sqrt{x}$

Multi-logarithm generalisation with multipliers

Logarithmic equation $\log^2_{4}{x}-\log_{2}{x}+4=0$

How to prove that $- x\ln{(x)}\le\sqrt{x}$ for $0<x<1$

How to show that ${(\ln n)}^{\ln n}=n^{\ln(\ln n)}$

How to evaluate $a^b - b^a = x$

Algebraic or only graphical solution in AoPS logarithm problem?

Stirling's Approximation for a probability distribution

Logistic regression - Transposing formulas

For what conditions of $a$ and $b$, it follows that $ \lim_{x \to \infty} \frac{\ln^a x}{x^b}=0 $?

Ascending order of log and power numbers

If $0<x<\infty$, prove that $0<\frac{1}{e^x-1}-\frac{1}{x}+\frac{1}{2}<\frac{x}{12}$

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