Question

How do you prove that $\log n \cdot \log n$ grows no faster than $\sqrt{n}$

score 193 · Answer 1 · 2026-04-16 11:32:12

193

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How do you prove that $\log n \cdot \log n$ grows no faster than $\sqrt{n}$

Published on 16 Apr 2026 - 11:32

score 155 · Answer 2 · 2026-04-17 02:42:06

155

Views

Prove: if $n = \frac{k^k-1}{k-1}$ then $k=\Omega\left(\frac{\log{n}}{\log{\log{n}}}\right)$

Published on 17 Apr 2026 - 2:42

score 76 · Answer 3 · 2026-04-15 02:09:51

76

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What is the value of $\sum_{n \geq 1} \epsilon^n/n$, where $\epsilon$ is a $k^\text{th}$ root of $1$

Published on 15 Apr 2026 - 2:09

score 108 · Answer 4 · 2026-04-09 17:02:26

108

Views

Is this logarithmic true?

Published on 09 Apr 2026 - 17:02

score 3.2k · Answer 5 · 2026-04-17 11:20:22

3.2k

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Using logarithmic identities to solve $\log x - 1 = -\log (x-9)$

Published on 17 Apr 2026 - 11:20

score 125 · Answer 6 · 2026-04-15 08:56:17

125

Views

Logarithmic inequality difficulty

Published on 15 Apr 2026 - 8:56

score 40 · Answer 7 · 2026-04-09 09:21:23

40

Views

Explanation of equation

Published on 09 Apr 2026 - 9:21

score 129 · Answer 8 · 2026-04-15 07:16:32

129

Views

How to show $\frac{2x}{2+x}<\log(x+1)$

Published on 15 Apr 2026 - 7:16

score 1k · Answer 9 · 2026-04-17 06:27:18

1k

Views

Show that $\log(x+1)-\log(x)<\frac{1}{x}$ for $x >0$

Published on 17 Apr 2026 - 6:27

score 494 · Answer 10 · 2026-04-12 02:15:27

494

Views

Solving an equation with matrices, vectors and logarithm

Published on 12 Apr 2026 - 2:15

score 224 · Answer 11 · 2026-04-17 09:45:15

224

Views

prove $(a^3+1)(b^3+1)(c^3+1)\ge 8$

Published on 17 Apr 2026 - 9:45

score 654 · Answer 12 · 2026-04-15 23:52:42

654

Views

Why use $\ln x$ and not $\log x$ in most standard intergration formulaes

Published on 15 Apr 2026 - 23:52

score 78 · Answer 13 · 2026-04-18 18:14:56

78

Views

Which one is bigger for large value of $n$?

Published on 18 Apr 2026 - 18:14

score 87 · Answer 14 · 2026-04-17 13:04:11

87

Views

Logarithm inequality confusion: $\dfrac{(\log_2 (8x) \times \log_{x/8} 2)}{\log_{x/2} 16} \leq 0.25$

Published on 17 Apr 2026 - 13:04

score 87 · Answer 15 · 2026-04-15 15:21:05

87

Views

How did n2 / n lg n = n / n lg n?

Published on 15 Apr 2026 - 15:21

List Question

How do you prove that $\log n \cdot \log n$ grows no faster than $\sqrt{n}$

Prove: if $n = \frac{k^k-1}{k-1}$ then $k=\Omega\left(\frac{\log{n}}{\log{\log{n}}}\right)$

What is the value of $\sum_{n \geq 1} \epsilon^n/n$, where $\epsilon$ is a $k^\text{th}$ root of $1$

Is this logarithmic true?

Using logarithmic identities to solve $\log x - 1 = -\log (x-9)$

Logarithmic inequality difficulty

Explanation of equation

How to show $\frac{2x}{2+x}<\log(x+1)$

Show that $\log(x+1)-\log(x)<\frac{1}{x}$ for $x >0$

Solving an equation with matrices, vectors and logarithm

prove $(a^3+1)(b^3+1)(c^3+1)\ge 8$

Why use $\ln x$ and not $\log x$ in most standard intergration formulaes

Which one is bigger for large value of $n$?

Logarithm inequality confusion: $\dfrac{(\log_2 (8x) \times \log_{x/8} 2)}{\log_{x/2} 16} \leq 0.25$

How did n2 / n lg n = n / n lg n?

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