Question

If $x \in \mathbb{Q}$ and $b \in \mathbb{R}$ with $b > 1$ and $x > 0$, then $b^x \geq 1$

score 52 · Answer 1 · 2026-03-31 07:57:46

52

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If $x \in \mathbb{Q}$ and $b \in \mathbb{R}$ with $b > 1$ and $x > 0$, then $b^x \geq 1$

Published on 31 Mar 2026 - 7:57

score 248 · Answer 2 · 2020-06-13 02:12:08

248

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Exponent notation (Tetration)

Published on 13 Jun 2020 - 2:12

score 111 · Answer 3 · 2020-06-13 05:19:08

111

Views

how to define $x^\sqrt 2$?

Published on 13 Jun 2020 - 5:19

score 182 · Answer 4 · 2020-06-13 13:40:29

182

Views

Fast modular exponentiation for $60^{53} \text{ mod } 299$

Published on 13 Jun 2020 - 13:40

score 987 · Answer 5 · 2020-06-16 16:17:27

987

Views

Is there a relation between fractional power and logarithm functions?

Published on 16 Jun 2020 - 16:17

score 54 · Answer 6 · 2026-03-29 09:18:51

54

Views

Inverting the function $f(x)=x\cdot C^x$

Published on 29 Mar 2026 - 9:18

score 31 · Answer 7 · 2026-03-30 14:58:55

31

Views

How does this differential equation's solutions embedded in an exponential-exponential coordinate plane change the form of the differential equation?

Published on 30 Mar 2026 - 14:58

score 806 · Answer 8 · 2020-06-20 15:37:00

806

Views

Proving exponent law for real numbers using the supremum definition only

Published on 20 Jun 2020 - 15:37

score 286 · Answer 9 · 2026-04-01 01:20:22

286

Views

Irrational Number modulo Prime

Published on 01 Apr 2026 - 1:20

score 197 · Answer 10 · 2020-06-21 15:57:47

197

Views

Solve : $\Bigg(\frac{ab}{a^{2a}+b^{2b}}\Bigg)^{a^n2^{n-1}}+\Bigg(\frac{ab}{a^{2a}+b^{2b}}\Bigg)^{b^n2^{n-1}}\leq 1 $

Published on 21 Jun 2020 - 15:57

score 35 · Answer 11 · 2020-06-23 11:02:51

35

Views

What maths rule allows this expression with powers to be rewritten as below?

Published on 23 Jun 2020 - 11:02

score 112 · Answer 12 · 2026-03-30 13:37:33

112

Views

What is wrong with $x=x^{2/2}=\sqrt {x^2}=\lvert x\rvert$

Published on 30 Mar 2026 - 13:37

score 48 · Answer 13 · 2020-06-23 22:28:03

48

Views

Solving $2^n - 2\times n = a $, where $a$ is a known constant

Published on 23 Jun 2020 - 22:28

score 513 · Answer 14 · 2020-06-25 06:29:45

513

Views

Explain and Apply Euler's Generalisation of Fermat's Theorem

Published on 25 Jun 2020 - 6:29

score 51 · Answer 15 · 2020-06-25 08:26:46

51

Views

What is the fundamental error in my reasoning?

Published on 25 Jun 2020 - 8:26

List Question

If $x \in \mathbb{Q}$ and $b \in \mathbb{R}$ with $b > 1$ and $x > 0$, then $b^x \geq 1$

Exponent notation (Tetration)

how to define $x^\sqrt 2$?

Fast modular exponentiation for $60^{53} \text{ mod } 299$

Is there a relation between fractional power and logarithm functions?

Inverting the function $f(x)=x\cdot C^x$

How does this differential equation's solutions embedded in an exponential-exponential coordinate plane change the form of the differential equation?

Proving exponent law for real numbers using the supremum definition only

Irrational Number modulo Prime

Solve : $\Bigg(\frac{ab}{a^{2a}+b^{2b}}\Bigg)^{a^n2^{n-1}}+\Bigg(\frac{ab}{a^{2a}+b^{2b}}\Bigg)^{b^n2^{n-1}}\leq 1 $

What maths rule allows this expression with powers to be rewritten as below?

What is wrong with $x=x^{2/2}=\sqrt {x^2}=\lvert x\rvert$

Solving $2^n - 2\times n = a $, where $a$ is a known constant

Explain and Apply Euler's Generalisation of Fermat's Theorem

What is the fundamental error in my reasoning?

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