Question

Interesting problem in logarithms

score 1.5k · Answer 1 · 2026-04-07 20:16:05

1.5k

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Interesting problem in logarithms

Published on 07 Apr 2026 - 20:16

score 88 · Answer 2 · 2026-04-17 03:13:27

88

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Why does $\int\frac{1}{2x+1}dx=\frac{1}{2}\ln|2x+1|+C$?

Published on 17 Apr 2026 - 3:13

score 102 · Answer 3 · 2026-04-30 04:56:47

102

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Asymptotic solution to inequality $x < k \ln(1+x)$

Published on 30 Apr 2026 - 4:56

score 55 · Answer 4 · 2026-04-08 22:48:49

55

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Proof of an inequality about primes

Published on 08 Apr 2026 - 22:48

score 41 · Answer 5 · 2026-04-17 14:06:00

41

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I'm interested in the solution set satisfying the equation $\log_{10} p\times\log_{10} q=\log_{10} r$

Published on 17 Apr 2026 - 14:06

score 109 · Answer 6 · 2026-04-10 11:28:18

109

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trouble understanding complex logarithms

Published on 10 Apr 2026 - 11:28

score 74 · Answer 7 · 2026-04-13 22:35:24

74

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what is $\sum_{n=1}^{\infty}\frac{x^{n+1}}{n}-\sum_{n=1}^{\infty}\frac{x^n}{n}$

Published on 13 Apr 2026 - 22:35

score 2.9k · Answer 8 · 2026-04-15 18:07:36

2.9k

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Closed form for $\int_0^\infty\arctan\Bigl(\frac{2\pi}{x-\ln\,x+\ln(\frac\pi2)}\Bigr)\frac{dx}{x+1}$

Published on 15 Apr 2026 - 18:07

score 135 · Answer 9 · 2026-04-15 03:33:13

135

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Understanding the proof behind $\pi(x) \ge \frac{\log 2}{2}\frac{x}{\log x}$

Published on 15 Apr 2026 - 3:33

score 23 · Answer 10 · 2026-04-13 20:51:34

23

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Equations transformations with roots

Published on 13 Apr 2026 - 20:51

score 30 · Answer 11 · 2026-04-14 05:16:51

30

Views

Explaining the non-application of the multiplication law of logarithms, when logs are in the denominators.

Published on 14 Apr 2026 - 5:16

score 144 · Answer 12 · 2026-04-10 23:36:05

144

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Natural Logarithm can't understand properties

Published on 10 Apr 2026 - 23:36

score 7.5k · Answer 13 · 2026-04-13 10:56:22

7.5k

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ln(z) as antiderivative of 1/z

Published on 13 Apr 2026 - 10:56

score 397 · Answer 14 · 2026-04-14 08:19:31

397

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Rewriting log of a sum

Published on 14 Apr 2026 - 8:19

score 3.7k · Answer 15 · 2026-04-17 11:25:39

3.7k

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Why is $\lim_{x \to +\infty}\log x = +\infty$ if $\mathrm{d}/\mathrm{d}x (\log x) = 1/x$?

Published on 17 Apr 2026 - 11:25

List Question

Interesting problem in logarithms

Why does $\int\frac{1}{2x+1}dx=\frac{1}{2}\ln|2x+1|+C$?

Asymptotic solution to inequality $x < k \ln(1+x)$

Proof of an inequality about primes

I'm interested in the solution set satisfying the equation $\log_{10} p\times\log_{10} q=\log_{10} r$

trouble understanding complex logarithms

what is $\sum_{n=1}^{\infty}\frac{x^{n+1}}{n}-\sum_{n=1}^{\infty}\frac{x^n}{n}$

Closed form for $\int_0^\infty\arctan\Bigl(\frac{2\pi}{x-\ln\,x+\ln(\frac\pi2)}\Bigr)\frac{dx}{x+1}$

Understanding the proof behind $\pi(x) \ge \frac{\log 2}{2}\frac{x}{\log x}$

Equations transformations with roots

Explaining the non-application of the multiplication law of logarithms, when logs are in the denominators.

Natural Logarithm can't understand properties

ln(z) as antiderivative of 1/z

Rewriting log of a sum

Why is $\lim_{x \to +\infty}\log x = +\infty$ if $\mathrm{d}/\mathrm{d}x (\log x) = 1/x$?

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