List questions from logarithms

Published on 09 Apr 2026 - 5:45

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On $p^{\log_q n}$, where $p$ and $q$ are distinct primes

Published on 25 Mar 2026 - 14:27

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vertical asymptote of function with $\ln(f(x))$ in the denominator

Published on 11 Apr 2026 - 23:57

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Logarithm function

Published on 11 Apr 2026 - 11:04

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Identity about integral of logarithm

Published on 10 Apr 2026 - 9:53

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Interesting function : $f(x)=\frac{\ln (\frac{x+2}{x+1})}{\ln (1+\frac{1}{x})}$ , $x>1$

Published on 03 Oct 2019 - 16:58

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In analysis of randomized load balancing allocation (using Chernoff bounds), how do you get upperbound on $\frac{\log n}{\log \log n}$?

Published on 03 Oct 2019 - 20:42

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What is the fastest algorithm for finding the natural logarithm of a big number?

Published on 10 Apr 2026 - 21:00

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Integral $\int_0^1 \frac{2x-1}{1+x-x^2}\left(4\ln x\ln(1+x)-\ln^2(1+x)\right)dx$

Published on 30 Mar 2026 - 3:39

216

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Has this series for $\ln(2)$ been discovered yet?

Published on 11 Apr 2026 - 0:41

111

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Upper bound of $\sum_{i \in S} i \log i $ with respect to the sum of elements in list $S$?

Published on 30 Mar 2026 - 4:44

241

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Show that $\log_7 (n)$ is either an integer or irrational, where n is a positive integer.

Published on 05 Oct 2019 - 17:14

33

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Solving $\log_2(x^2+ x +6 ) > 0$

Published on 06 Oct 2019 - 9:59

70

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Solving $3^x + 4^x = 15$

Published on 06 Oct 2019 - 14:38

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antidervative of $\ln\left|\tan{\left(\dfrac{\cos^{-1}{\left(\left|x\right|\right)}}{2} + \dfrac{\pi}{4} \right)}\right| $

Published on 06 Oct 2019 - 20:13

List Question

help understanding how $\ln$ and $e$ cancel.

On $p^{\log_q n}$, where $p$ and $q$ are distinct primes

vertical asymptote of function with $\ln(f(x))$ in the denominator

Logarithm function

Identity about integral of logarithm

Interesting function : $f(x)=\frac{\ln (\frac{x+2}{x+1})}{\ln (1+\frac{1}{x})}$ , $x>1$

In analysis of randomized load balancing allocation (using Chernoff bounds), how do you get upperbound on $\frac{\log n}{\log \log n}$?

What is the fastest algorithm for finding the natural logarithm of a big number?

Integral $\int_0^1 \frac{2x-1}{1+x-x^2}\left(4\ln x\ln(1+x)-\ln^2(1+x)\right)dx$

Has this series for $\ln(2)$ been discovered yet?

Upper bound of $\sum_{i \in S} i \log i $ with respect to the sum of elements in list $S$?

Show that $\log_7 (n)$ is either an integer or irrational, where n is a positive integer.

Solving $\log_2(x^2+ x +6 ) > 0$

Solving $3^x + 4^x = 15$

antidervative of $\ln\left|\tan{\left(\dfrac{\cos^{-1}{\left(\left|x\right|\right)}}{2} + \dfrac{\pi}{4} \right)}\right| $

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