Question

Finding a closed form to a minimum of a function

score 154 · Answer 1 · 2026-03-31 11:23:47

154

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Finding a closed form to a minimum of a function

Published on 31 Mar 2026 - 11:23

score 126 · Answer 2 · 2026-04-01 01:23:54

126

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Arrange irrationals in ascending order:$ 2^{\sqrt{\frac{5}{3}}},3^{\sqrt{\frac{3}{5}}},5^{\sqrt{\frac{4}{15}}},29^{\frac{1}{\sqrt{15}}} $

Published on 01 Apr 2026 - 1:23

score 52 · Answer 3 · 2020-06-26 07:16:42

52

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if given $3^{6x}+3^{-6x}+3^{2x+1}+3^{-2x+2} = 27 $, then the value of $ \frac{2(a+b)}{3^{a} + 3^{b}}$ where a and b is roots of the given.

Published on 26 Jun 2020 - 7:16

score 217 · Answer 4 · 2020-07-01 12:48:48

217

Views

Nice inequality with exponents $a^{2b}+b^{2a}\leq a^{\Big(\frac{a(1-a)(\frac{1}{2}-a)}{4}\Big)^2}$

Published on 01 Jul 2020 - 12:48

score 54 · Answer 5 · 2020-07-02 18:53:12

54

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Is there a term for the function $\operatorname{sign}(x) \times |x|^a$?

Published on 02 Jul 2020 - 18:53

score 49 · Answer 6 · 2020-07-03 11:21:15

49

Views

I don't understand this exponent simplification

Published on 03 Jul 2020 - 11:21

score 86 · Answer 7 · 2020-07-03 13:34:25

86

Views

Prove that there are infinitely many primes of the form $2^n-n^2$

Published on 03 Jul 2020 - 13:34

score 453 · Answer 8 · 2020-07-04 16:34:43

453

Views

Converting recurrence relation to linear and solve with matrix exponentiation

Published on 04 Jul 2020 - 16:34

score 63 · Answer 9 · 2020-07-05 05:07:52

63

Views

$x^{5x}=y^y$, $x, y \in \mathbb{Z}^+$, find largest value of $x$.

Published on 05 Jul 2020 - 5:07

score 149 · Answer 10 · 2026-03-30 10:55:55

149

Views

When is $(a^b)^c$ not equal to $a^{bc}$?

Published on 30 Mar 2026 - 10:55

score 184 · Answer 11 · 2020-07-06 07:42:19

184

Views

Solve $x^{x^{x^{2017}}}=2017$

Published on 06 Jul 2020 - 7:42

score 97 · Answer 12 · 2020-07-09 13:50:36

97

Views

$x^n+y^n+z^n+u^n+v^n=(x+y+z+u+v)^{n-1}, 3 \le n \le 5$

Published on 09 Jul 2020 - 13:50

score 110 · Answer 13 · 2020-07-09 15:18:00

110

Views

Set of numbers with interesting property

Published on 09 Jul 2020 - 15:18

score 83 · Answer 14 · 2020-07-11 12:44:32

83

Views

Why is $\sqrt{x^2}$ is $|x|$?

Published on 11 Jul 2020 - 12:44

score 34 · Answer 15 · 2026-03-31 07:12:23

34

Views

Simple cardinal arithmetic

Published on 31 Mar 2026 - 7:12

List Question

Finding a closed form to a minimum of a function

Arrange irrationals in ascending order:$ 2^{\sqrt{\frac{5}{3}}},3^{\sqrt{\frac{3}{5}}},5^{\sqrt{\frac{4}{15}}},29^{\frac{1}{\sqrt{15}}} $

if given $3^{6x}+3^{-6x}+3^{2x+1}+3^{-2x+2} = 27 $, then the value of $ \frac{2(a+b)}{3^{a} + 3^{b}}$ where a and b is roots of the given.

Nice inequality with exponents $a^{2b}+b^{2a}\leq a^{\Big(\frac{a(1-a)(\frac{1}{2}-a)}{4}\Big)^2}$

Is there a term for the function $\operatorname{sign}(x) \times |x|^a$?

I don't understand this exponent simplification

Prove that there are infinitely many primes of the form $2^n-n^2$

Converting recurrence relation to linear and solve with matrix exponentiation

$x^{5x}=y^y$, $x, y \in \mathbb{Z}^+$, find largest value of $x$.

When is $(a^b)^c$ not equal to $a^{bc}$?

Solve $x^{x^{x^{2017}}}=2017$

$x^n+y^n+z^n+u^n+v^n=(x+y+z+u+v)^{n-1}, 3 \le n \le 5$

Set of numbers with interesting property

Why is $\sqrt{x^2}$ is $|x|$?

Simple cardinal arithmetic

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