List questions from number-comparison

Published on 19 Mar 2024 - 18:58

500

Views

Compare three numbers, expressed as powers: $4^{68}$, $5^{51}$ and $12^{23}$

Published on 27 Apr 2015 - 19:56

388

Views

Which term is bigger? $\sqrt[102]{101}$ or $\sqrt[100]{100}$

Published on 15 May 2015 - 15:48

1.6k

Views

Showing that $\sqrt[105]{105}>\sqrt[106]{106}$

Published on 03 Jun 2015 - 12:08

386

Views

How to find out the greater number from $15^{1/20}$ and $20^{1/15}$?

Published on 16 Jun 2015 - 5:51

890

Views

How to prove that $7^{31} > 8^{29}$

Published on 07 Jul 2015 - 14:16

2.9k

Views

Which is greater, $98^{99} $ or $ 99^{98}$?

Published on 23 Aug 2015 - 15:22

2.4k

Views

Proving that $e^{\pi}-{\pi}^e\lt 1$ without using a calculator

Published on 26 Aug 2015 - 12:10

237

Views

Which one is greater $\left(5/2\right)^{2/5}$ or $\left(7/2\right)^{2/7}$?

Published on 16 Sep 2015 - 9:39

832

Views

How can I prove that $2^{\sqrt 7}$ is bigger than $5$?

Published on 21 Mar 2026 - 13:15

1.5k

Views

Is $202^{303}$ greater or $303^{202}$?

Published on 15 May 2016 - 21:35

2.3k

Views

Which of the numbers is larger: $7^{94}$ or $9^{91} $?

Published on 16 May 2016 - 23:16

1.4k

Views

Which is larger, $70^{71}$ or $71^{70}$?

Published on 13 Jun 2016 - 10:51

421

Views

Which number is greater, $11^{11}$ or $9^{12}$?

Published on 20 Jun 2016 - 11:16

282

Views

Is $\log_{2}{3} > \log_{3}{5}$?

Published on 25 Mar 2026 - 0:20

List Question

How to prove $\sqrt{99} + \sqrt{101} < 2\sqrt{100}$ without a calculator

Compare three numbers, expressed as powers: $4^{68}$, $5^{51}$ and $12^{23}$

Which term is bigger? $\sqrt[102]{101}$ or $\sqrt[100]{100}$

Showing that $\sqrt[105]{105}>\sqrt[106]{106}$

How to find out the greater number from $15^{1/20}$ and $20^{1/15}$?

How to prove that $7^{31} > 8^{29}$

Which is greater, $98^{99} $ or $ 99^{98}$?

Proving that $e^{\pi}-{\pi}^e\lt 1$ without using a calculator

Which one is greater $\left(5/2\right)^{2/5}$ or $\left(7/2\right)^{2/7}$?

How can I prove that $2^{\sqrt 7}$ is bigger than $5$?

Is $202^{303}$ greater or $303^{202}$?

Which of the numbers is larger: $7^{94}$ or $9^{91} $?

Which is larger, $70^{71}$ or $71^{70}$?

Which number is greater, $11^{11}$ or $9^{12}$?

Is $\log_{2}{3} > \log_{3}{5}$?

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