List questions from logarithms

Published on 29 Mar 2026 - 17:24

81

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$\lim_{k\rightarrow \infty}\frac{2^k}{\gamma}\log\mathbb{E}[e^{-\gamma \frac{X}{2^k}}]$

Published on 10 Apr 2014 - 19:57

95

Views

Find all $a$ such that $\lim_{x\to\infty}\left( \frac{x+a}{x-a} \right)^x = e$.

Published on 10 Apr 2014 - 20:10

468

Views

Why $x-\ln (1+e^x)=c$ has a solution for every $c<0$ and not otherwise?

Published on 11 Apr 2014 - 2:15

133

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probability: Chebyshev inequality question

Published on 11 Apr 2014 - 5:09

49

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Find the inverse of the function

Published on 29 Mar 2026 - 5:42

1.8k

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Proof that $b^{\log_b(x)} = x$

Published on 03 Apr 2026 - 7:15

496

Views

Is there a simple algorithm for exponentiating large numbers to large powers?

Published on 27 Mar 2026 - 22:59

47

Views

Lipschitz continuity in two variables

Published on 13 Apr 2014 - 9:30

76

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Approximating the sum of integers with the logarithm

Published on 13 Apr 2014 - 19:14

84

Views

Integral of $e^x \, \ln(e^{2x} - 4)$

Published on 14 Apr 2014 - 0:13

1.1k

Views

Solving a logarithmic system of equations

Published on 07 Apr 2026 - 6:31

474

Views

reverse a logarithm

Published on 27 Mar 2026 - 18:05

96

Views

Solution for $x$ with exponents?

Published on 15 Apr 2014 - 11:09

872

Views

Find the largest possible root of a number that is whole

Published on 28 Mar 2026 - 23:58

List Question

Function inverse mapping [0, +inf) to [0, 1)

$\lim_{k\rightarrow \infty}\frac{2^k}{\gamma}\log\mathbb{E}[e^{-\gamma \frac{X}{2^k}}]$

Find all $a$ such that $\lim_{x\to\infty}\left( \frac{x+a}{x-a} \right)^x = e$.

Why $x-\ln (1+e^x)=c$ has a solution for every $c<0$ and not otherwise?

probability: Chebyshev inequality question

Find the inverse of the function

Proof that $b^{\log_b(x)} = x$

Is there a simple algorithm for exponentiating large numbers to large powers?

Lipschitz continuity in two variables

Approximating the sum of integers with the logarithm

Integral of $e^x \, \ln(e^{2x} - 4)$

Solving a logarithmic system of equations

reverse a logarithm

Solution for $x$ with exponents?

Find the largest possible root of a number that is whole

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