List questions from exponentiation

Published on 14 Apr 2026 - 12:22

170

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Is the weighted average interest rate (aka WACC) strictly less than or equal to the combined value of the interest on those investment kept seperate?

Published on 17 Apr 2026 - 3:26

57

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Let $x,y≠0$ with $x+y-2xy=0$, such that $4^x=9^y=a$. Then, what is the value of $a$?

Published on 15 Apr 2026 - 22:56

226

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What is $x^\bot$? Is $\zeta(\bot)=\bot$ for Riemann's zeta function $\zeta$ and wheel theory's $\bot$?

Published on 10 Apr 2026 - 19:49

78

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All real and closed-form roots of $\log_2x=\frac {2^{x-1}}{x}$

Published on 16 Apr 2026 - 18:36

37

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Negative indices with fraction, why change the sign when swapping

Published on 11 Apr 2026 - 14:18

50

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Solving for exponent and denominator

Published on 14 Apr 2026 - 10:33

18

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Comparison of powers in the inequation of binary polynomials

Published on 11 Apr 2026 - 20:49

71

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Do the $x^{th}$ differences of $n^x$ always equal $x!$

Published on 15 Apr 2026 - 19:27

657

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Prove that: $x^x-y^y\ge(x-y)^x-(x-y)^y$, where $x\ge y>0.$

Published on 16 Apr 2026 - 11:00

108

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Fractional powers of quaternions

Published on 08 Apr 2026 - 4:21

98

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Why is $2^{2^2}$ so much less than $2^{2^{2^2}}$?

Published on 18 Apr 2026 - 1:02

990

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Prove that: $e-\ln(10)>\sqrt 2-1.$

Published on 26 Mar 2026 - 4:29

94

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Comparing $(2n)^{\ln {n}}$ to $(\ln{n})^{2n}$ for $n > 1000$

Published on 26 Mar 2026 - 4:31

47

Views

Confusion about exponents in logarithmic equation

Published on 09 Apr 2026 - 12:09

List Question

For which values of $x$ does $y$ have a value in $x^y=y$?

Is the weighted average interest rate (aka WACC) strictly less than or equal to the combined value of the interest on those investment kept seperate?

Let $x,y≠0$ with $x+y-2xy=0$, such that $4^x=9^y=a$. Then, what is the value of $a$?

What is $x^\bot$? Is $\zeta(\bot)=\bot$ for Riemann's zeta function $\zeta$ and wheel theory's $\bot$?

All real and closed-form roots of $\log_2x=\frac {2^{x-1}}{x}$

Negative indices with fraction, why change the sign when swapping

Solving for exponent and denominator

Comparison of powers in the inequation of binary polynomials

Do the $x^{th}$ differences of $n^x$ always equal $x!$

Prove that: $x^x-y^y\ge(x-y)^x-(x-y)^y$, where $x\ge y>0.$

Fractional powers of quaternions

Why is $2^{2^2}$ so much less than $2^{2^{2^2}}$?

Prove that: $e-\ln(10)>\sqrt 2-1.$

Comparing $(2n)^{\ln {n}}$ to $(\ln{n})^{2n}$ for $n > 1000$

Confusion about exponents in logarithmic equation

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