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evaluating some limits with $\ln(x)$

score 139 · Answer 1 · 2026-04-11 17:37:38

139

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evaluating some limits with $\ln(x)$

Published on 11 Apr 2026 - 17:37

score 178 · Answer 2 · 2026-04-30 02:58:17

178

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Name for some kind of logarithmic norm/error

Published on 30 Apr 2026 - 2:58

score 1.6k · Answer 3 · 2026-04-10 16:43:36

1.6k

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tricky derivative with logarithm of sum

Published on 10 Apr 2026 - 16:43

score 60 · Answer 4 · 2026-04-17 02:28:41

60

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$a^{\log_g b} = b^{\log_g a}$?

Published on 17 Apr 2026 - 2:28

score 86 · Answer 5 · 2026-04-15 22:17:39

86

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Partial integration of $\sin x\log(y-1)$ w.r.t. $x$

Published on 15 Apr 2026 - 22:17

score 2.6k · Answer 6 · 2026-04-13 22:42:57

2.6k

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Logarithm of the dot product of two vectors.

Published on 13 Apr 2026 - 22:42

score 5.1k · Answer 7 · 2026-04-10 21:48:26

5.1k

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Simplifying two logarithms with different bases

Published on 10 Apr 2026 - 21:48

score 1k · Answer 8 · 2026-04-16 11:50:47

1k

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A reason for the value of $\int_{0}^{1}\log{(x)}\log{(1-x)}\,\mathrm{d}x$

Published on 16 Apr 2026 - 11:50

score 14.5k · Answer 9 · 2026-04-16 00:37:14

14.5k

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Prove that from the equalities, $\frac{x(y+z-x)}{\log x}=\frac{y(x+z-y)}{\log y}=\frac{z(y+x-z)}{\log z}$ follows $x^yy^x=y^zz^y=z^xx^z$.

Published on 16 Apr 2026 - 0:37

score 8.6k · Answer 10 · 2026-05-05 08:47:44

8.6k

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Asymptotic behaviour of the logarithm

Published on 05 May 2026 - 8:47

score 610 · Answer 11 · 2026-05-05 08:47:44

610

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Computing the limit of $(\log n)^{0.5}/\log n^{0.5}$

Published on 05 May 2026 - 8:47

score 1.5k · Answer 12 · 2026-04-16 14:26:30

1.5k

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Prove $\log(x) < n(x)^{1/n}$, for all positive integer values of $n$, and $x > 0$

Published on 16 Apr 2026 - 14:26

score 342 · Answer 13 · 2026-04-16 06:50:06

342

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Simplified is 0? $\log_{3} 9x^4 - log_{3}(3x)^2 $

Published on 16 Apr 2026 - 6:50

score 145 · Answer 14 · 2026-04-17 04:13:30

145

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$(1)$ $a\boxplus b=a+b-ab$ for all $a,b \in F$. $(2)$ $a\boxdot b=1-t^{\log_t{(1-a)}\log_t{(1-b)}}$ for all $a,b\in F$

Published on 17 Apr 2026 - 4:13

score 197 · Answer 15 · 2026-04-16 05:50:23

197

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What is $\lim_{n\to\infty}2^n\sqrt{2-\sqrt{2+\sqrt{2+\dots+\sqrt{p}}}}$ for $negative$ and other $p$?

Published on 16 Apr 2026 - 5:50

List Question

evaluating some limits with $\ln(x)$

Name for some kind of logarithmic norm/error

tricky derivative with logarithm of sum

$a^{\log_g b} = b^{\log_g a}$?

Partial integration of $\sin x\log(y-1)$ w.r.t. $x$

Logarithm of the dot product of two vectors.

Simplifying two logarithms with different bases

A reason for the value of $\int_{0}^{1}\log{(x)}\log{(1-x)}\,\mathrm{d}x$

Prove that from the equalities, $\frac{x(y+z-x)}{\log x}=\frac{y(x+z-y)}{\log y}=\frac{z(y+x-z)}{\log z}$ follows $x^yy^x=y^zz^y=z^xx^z$.

Asymptotic behaviour of the logarithm

Computing the limit of $(\log n)^{0.5}/\log n^{0.5}$

Prove $\log(x) < n(x)^{1/n}$, for all positive integer values of $n$, and $x > 0$

Simplified is 0? $\log_{3} 9x^4 - log_{3}(3x)^2 $

$(1)$ $a\boxplus b=a+b-ab$ for all $a,b \in F$. $(2)$ $a\boxdot b=1-t^{\log_t{(1-a)}\log_t{(1-b)}}$ for all $a,b\in F$

What is $\lim_{n\to\infty}2^n\sqrt{2-\sqrt{2+\sqrt{2+\dots+\sqrt{p}}}}$ for $negative$ and other $p$?

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