List questions from exponentiation

Published on 02 Apr 2026 - 6:22

85

Views

How to prove that $f(x) = x^ε - \log x$ is $\infty$ when $x\to\infty$?

Published on 18 Mar 2015 - 17:23

32

Views

Find $E[W|X>Y]$ where $W = X+Y$ and $X,Y \sim \exp(2)$ independently

Published on 19 Mar 2015 - 9:52

270

Views

Proving $n! < n^n$ by induction for all $n\geq 2$.

Published on 02 Apr 2026 - 21:49

411

Views

Prove an inequality on natural number

Published on 21 Mar 2015 - 7:26

66

Views

Logarithmic question

Published on 21 Mar 2015 - 11:26

291

Views

Is there a $k$ such that $2^n$ has $6$ as one of its digits for all $n\ge k$?

Published on 30 Mar 2026 - 15:15

156

Views

Irrational numbers to irrational powers being rational?

Published on 26 Mar 2026 - 12:52

143

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Is the solution of the equation $x^x=2$ rational?

Published on 26 Mar 2026 - 12:58

130

Views

Simplifying exponents

Published on 22 Mar 2015 - 20:39

1.9k

Views

What is the correct value?

Published on 22 Mar 2015 - 22:19

81

Views

An upper bound for $a_1 (\sum_{i=2}^n a_i^{n-1})$ in terms of $a_1^n + \sum_{i=2}^n a_i^n$

Published on 23 Mar 2015 - 8:26

90

Views

Does (x^y)^a+b = x^(y(a+b)) or x^((ya)+b)?

Published on 23 Mar 2015 - 22:22

195

Views

Calculating the number of times a value must be halved for it to be less than or equal to another value

Published on 24 Mar 2015 - 0:40

1k

Views

How to simplify recurrence relation?

Published on 24 Mar 2015 - 16:04

List Question

How to solve an equation with absolute value and x as exponent.

How to prove that $f(x) = x^ε - \log x$ is $\infty$ when $x\to\infty$?

Find $E[W|X>Y]$ where $W = X+Y$ and $X,Y \sim \exp(2)$ independently

Proving $n! < n^n$ by induction for all $n\geq 2$.

Prove an inequality on natural number

Logarithmic question

Is there a $k$ such that $2^n$ has $6$ as one of its digits for all $n\ge k$?

Irrational numbers to irrational powers being rational?

Is the solution of the equation $x^x=2$ rational?

Simplifying exponents

What is the correct value?

An upper bound for $a_1 (\sum_{i=2}^n a_i^{n-1})$ in terms of $a_1^n + \sum_{i=2}^n a_i^n$

Does (x^y)^a+b = x^(y(a+b)) or x^((ya)+b)?

Calculating the number of times a value must be halved for it to be less than or equal to another value

How to simplify recurrence relation?

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