List questions from exponentiation

Published on 12 Jul 2020 - 14:04

64

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How do I solve this equation, which includes logarithms,

Published on 15 Jul 2020 - 4:59

127

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Is there a name for the function that gives you the base?

Published on 15 Jul 2020 - 11:24

407

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Pretty conjecture $x^{\left(\frac{y}{x}\right)^n}+y^{\left(\frac{x}{y}\right)^n}\leq 1$

Published on 27 Mar 2026 - 12:30

1.1k

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Exponential growth and decay,and the constant k

Published on 17 Jul 2020 - 8:14

147

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why are $e^{2x}$ and $e^{x^2}$ inequal?

Published on 21 Jul 2020 - 8:35

780

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What does the exponential of a vector do geometrically?

Published on 27 Mar 2026 - 8:41

952

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How to prove that $(a^m)^n=a^{mn}$ where $a,m,n$ are real numbers and a>0?

Published on 23 Jul 2020 - 18:08

115

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How do I find the value of $\operatorname{LCM} (a_1^k,a_2^k, \ldots ,a_n^k) \pmod {m}$?

Published on 29 Mar 2026 - 19:14

74

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Solution to : $g(x)=(\sin^2(x))^{\frac{1}{f(x)}}+(\cos^2(x))^{f(x)}\leq 1$

Published on 25 Jul 2020 - 14:15

54

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Interpretations of Exponents

Published on 27 Jul 2020 - 5:37

107

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Are powers of a natural number distributed widely in the residue system?

Published on 28 Jul 2020 - 8:19

92

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Can we find a necessary and sufficient condition to have : $(x^2)^{1-f(x)}+((1-x)^2)^{1-f(1-x)}\leq 1$?

Published on 29 Jul 2020 - 9:58

71

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Continuity of $f(t)=t^{x-1}$

Published on 29 Jul 2020 - 14:07

234

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why $\left(\left( \left(-\frac{1}{4}\right)^{-2}\right)^\frac{1}{4}\right) \neq \left(\left(-\frac{1}{4}\right)^{-\frac{1}{2}}\right)$?

Published on 30 Jul 2020 - 14:06

List Question

Rates of change, compounding rates and exponentiation

How do I solve this equation, which includes logarithms,

Is there a name for the function that gives you the base?

Pretty conjecture $x^{\left(\frac{y}{x}\right)^n}+y^{\left(\frac{x}{y}\right)^n}\leq 1$

Exponential growth and decay,and the constant k

why are $e^{2x}$ and $e^{x^2}$ inequal?

What does the exponential of a vector do geometrically?

How to prove that $(a^m)^n=a^{mn}$ where $a,m,n$ are real numbers and a>0?

How do I find the value of $\operatorname{LCM} (a_1^k,a_2^k, \ldots ,a_n^k) \pmod {m}$?

Solution to : $g(x)=(\sin^2(x))^{\frac{1}{f(x)}}+(\cos^2(x))^{f(x)}\leq 1$

Interpretations of Exponents

Are powers of a natural number distributed widely in the residue system?

Can we find a necessary and sufficient condition to have : $(x^2)^{1-f(x)}+((1-x)^2)^{1-f(1-x)}\leq 1$?

Continuity of $f(t)=t^{x-1}$

why $\left(\left( \left(-\frac{1}{4}\right)^{-2}\right)^\frac{1}{4}\right) \neq \left(\left(-\frac{1}{4}\right)^{-\frac{1}{2}}\right)$?

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