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15
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Approximating $ | \ln(x)| $ by $-\ln(x)$ near 0

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#real-analysis #logarithms #approximation
110
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"Multi-stage logarithm" series expansion (e.g. $a^x+b^x+c^x=d$)

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#logarithms #polylogarithm
383
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Using Logarithms To "Straighten the Data"

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#algebra-precalculus #logarithms
351
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How to prove that for $- x\log{(x)}\le\sqrt{x}$

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#calculus #limits #logarithms #exponential-function #epsilon-delta
71
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Multi-logarithm generalisation with multipliers

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#logarithms #polylogarithm #transcendental-functions
150
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Logarithmic equation $\log^2_{4}{x}-\log_{2}{x}+4=0$

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#logarithms
106
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How to prove that $- x\ln{(x)}\le\sqrt{x}$ for $0<x<1$

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#calculus #limits #logarithms #epsilon-delta
119
Views

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

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#algebra-precalculus #logarithms
40
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How to evaluate $a^b - b^a = x$

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#logarithms
60
Views

Algebraic or only graphical solution in AoPS logarithm problem?

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#logarithms
379
Views

Stirling's Approximation for a probability distribution

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#probability #logarithms #approximation #mathematica
306
Views

Logistic regression - Transposing formulas

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#logarithms #logistic-regression
39
Views

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

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#limits #logarithms
741
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Ascending order of log and power numbers

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#logarithms #exponential-function #exponentiation
94
Views

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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#real-analysis #inequality #logarithms #exponential-function #fractions

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