Question

Compute a tight upper bound of $\sum_{i=1}^{n-1}\frac{1}{3^i\log{n}- 3i}$?

score 45 · Answer 1 · 2026-04-16 02:50:55

45

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Compute a tight upper bound of $\sum_{i=1}^{n-1}\frac{1}{3^i\log{n}- 3i}$?

Published on 16 Apr 2026 - 2:50

score 190 · Answer 2 · 2026-04-14 01:02:04

190

Views

How to determine the almost accurate initial guess to calculate the $\ln(x)$ via Newton-Raphson method?

Published on 14 Apr 2026 - 1:02

score 110 · Answer 3 · 2026-04-17 10:05:00

110

Views

Solving $\log_3x^3 - 4\log_9x - 5\log_{27}x^{1/2} = \log_94$

Published on 17 Apr 2026 - 10:05

score 301 · Answer 4 · 2026-04-17 00:30:29

301

Views

Prove that $2 \int_{x}^{x+1} \log(t) dt \geq \log(x (x+1))$.

Published on 17 Apr 2026 - 0:30

score 70 · Answer 5 · 2026-04-10 18:04:16

70

Views

Solving Logarithmic Expression

Published on 10 Apr 2026 - 18:04

score 32 · Answer 6 · 2026-04-12 00:58:38

32

Views

Calculating the Derivative of a Complex Expression

Published on 12 Apr 2026 - 0:58

score 124 · Answer 7 · 2026-04-17 02:41:50

124

Views

Prove $\frac{1}{2}\ln(1+n)<\sin(\frac{1}{2})+\sin(\frac{1}{4})+\sin(\frac{1}{6})+ ...+\sin(\frac{1}{2n})<\frac{1}{2}\ln(n)+\ln(2)?$

Published on 17 Apr 2026 - 2:41

score 87 · Answer 8 · 2026-04-16 13:30:19

Let $D$ be a domain, $a,b \in \mathbb{C}\setminus D$ and $f(z)=\frac{z-a}{z-b}$. Then there exists a holomorphic branch of the log of $f$ on $D$.

score 256 · Answer 9 · 2026-04-13 01:12:56

256

Views

Is $e^{\ln(-7) }= -7$?

Published on 13 Apr 2026 - 1:12

score 183 · Answer 10 · 2026-04-17 14:13:30

183

Views

$\int \frac{-1}{x-1}\,dx$ vs $-\int \frac{1}{x-1}\,dx$

Published on 17 Apr 2026 - 14:13

score 64 · Answer 11 · 2026-04-13 06:10:40

64

Views

How to solve $10x=3^x+3$

Published on 13 Apr 2026 - 6:10

score 104 · Answer 12 · 2026-04-17 14:05:54

104

Views

I am facing problem while solving the integrals $\int e^{\ln(x)}dx$ and $\int e^{\ln(|x|)}dx$.

Published on 17 Apr 2026 - 14:05

score 54 · Answer 13 · 2026-03-26 09:36:58

54

Views

How to log a distribution?

Published on 26 Mar 2026 - 9:36

score 335 · Answer 14 · 2026-04-15 18:38:08

335

Views

How to integrate $\int \ln(x+\ln(x+\ln(x+...))) dx$?

Published on 15 Apr 2026 - 18:38

score 109 · Answer 15 · 2026-04-17 10:34:11

109

Views

Solving $\frac{8^x-2^x}{6^x-3^x} = 2$

Published on 17 Apr 2026 - 10:34

List Question

Compute a tight upper bound of $\sum_{i=1}^{n-1}\frac{1}{3^i\log{n}- 3i}$?

How to determine the almost accurate initial guess to calculate the $\ln(x)$ via Newton-Raphson method?

Solving $\log_3x^3 - 4\log_9x - 5\log_{27}x^{1/2} = \log_94$

Prove that $2 \int_{x}^{x+1} \log(t) dt \geq \log(x (x+1))$.

Solving Logarithmic Expression

Calculating the Derivative of a Complex Expression

Prove $\frac{1}{2}\ln(1+n)<\sin(\frac{1}{2})+\sin(\frac{1}{4})+\sin(\frac{1}{6})+ ...+\sin(\frac{1}{2n})<\frac{1}{2}\ln(n)+\ln(2)?$

Let $D$ be a domain, $a,b \in \mathbb{C}\setminus D$ and $f(z)=\frac{z-a}{z-b}$. Then there exists a holomorphic branch of the log of $f$ on $D$.

Is $e^{\ln(-7) }= -7$?

$\int \frac{-1}{x-1}\,dx$ vs $-\int \frac{1}{x-1}\,dx$

How to solve $10x=3^x+3$

I am facing problem while solving the integrals $\int e^{\ln(x)}dx$ and $\int e^{\ln(|x|)}dx$.

How to log a distribution?

How to integrate $\int \ln(x+\ln(x+\ln(x+...))) dx$?

Solving $\frac{8^x-2^x}{6^x-3^x} = 2$

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