List questions from exponentiation

Published on 09 Apr 2026 - 12:08

38

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Multiple powers

Published on 10 Apr 2026 - 0:50

503

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Proving $x \equiv c^d \mod{(pq)}$ is a solution to $x^e \equiv c \mod{(pq)}$ when $gcd(c, pq) > 1$

Published on 16 Apr 2026 - 11:16

118

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Axiomatizing the (positive-based) exponential function

Published on 11 Apr 2026 - 14:51

69

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Solve $2^x+2^{x+1}=1$

Published on 16 Apr 2026 - 18:05

40

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Is there a generalized function such that $f(z_1) = z_2$ for $x^y = z_1$ and $y^x = z_2$?

Published on 26 Mar 2026 - 12:49

1.7k

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Power of a negative number

Published on 17 Apr 2026 - 14:30

34

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If no $k,l \in \mathbb N$ : $x_1=2^k$ and $x_2=2^l$, in which $x_1$, $x_2$ $\in \mathbb N$, then there is no $m \in \mathbb N$, so that $x_1x_2=2^m$?

Published on 17 Apr 2026 - 14:09

1.6k

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Is pH found using negative log because the scientific notation of the number of hydrogen atoms in a solution is always negative?

Published on 13 Apr 2026 - 2:28

195

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Exponential equations e.g. $x^{x^2} = 8x$

Published on 15 Apr 2026 - 18:42

62

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Figuring out $x^n$

Published on 14 Apr 2026 - 12:06

949

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Finding integer solutions of $ 2^{m} + 1 = 3^{n} $.

Published on 14 Apr 2026 - 6:42

271

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Solve $2^{x+5} - 2^{x+2} = 7$

Published on 17 Apr 2026 - 0:45

43

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When does a $c$ exist such that $(a/b)^{\delta} < (a+1/b+1)^{\delta + c}$.

Published on 16 Apr 2026 - 7:50

174

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Reciprocal of 9's

Published on 13 Apr 2026 - 22:37

List Question

Modular Exponentiation

Multiple powers

Proving $x \equiv c^d \mod{(pq)}$ is a solution to $x^e \equiv c \mod{(pq)}$ when $gcd(c, pq) > 1$

Axiomatizing the (positive-based) exponential function

Solve $2^x+2^{x+1}=1$

Is there a generalized function such that $f(z_1) = z_2$ for $x^y = z_1$ and $y^x = z_2$?

Power of a negative number

If no $k,l \in \mathbb N$ : $x_1=2^k$ and $x_2=2^l$, in which $x_1$, $x_2$ $\in \mathbb N$, then there is no $m \in \mathbb N$, so that $x_1x_2=2^m$?

Is pH found using negative log because the scientific notation of the number of hydrogen atoms in a solution is always negative?

Exponential equations e.g. $x^{x^2} = 8x$

Figuring out $x^n$

Finding integer solutions of $ 2^{m} + 1 = 3^{n} $.

Solve $2^{x+5} - 2^{x+2} = 7$

When does a $c$ exist such that $(a/b)^{\delta} < (a+1/b+1)^{\delta + c}$.

Reciprocal of 9's

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