List questions from number-comparison

Published on 25 Mar 2026 - 6:04

99

Views

How do we compare $8^{2700}$ and $3^{5500}$ without using the logarithm?

Published on 25 Mar 2026 - 6:01

107

Views

Prove by using convexity: $33\sin33^{\circ}+29\sin29^{\circ}+28\sin28^{\circ}>45$

Published on 10 May 2026 - 23:24

73

Views

Problem with exponents and inequalities

Published on 11 Apr 2026 - 2:20

92

Views

Compare $A$ and $B$

Published on 25 Apr 2026 - 1:01

46

Views

Inequality using order relation

Published on 10 Apr 2026 - 15:50

66

Views

Comparing log with rationals

Published on 10 Apr 2026 - 16:19

885

Views

Show that $\sqrt{10}+\sqrt{26}+\sqrt{17}+\sqrt{37} \gt \sqrt{341}$

Published on 25 Mar 2026 - 6:05

183

Views

How can I prove that $\sqrt{3}-\sqrt{2}-0.32<0$

Published on 25 Mar 2026 - 6:04

36

Views

How would you go about finding the exponent for any given x that most closely matches or surpasses factorial growth?

Published on 25 Mar 2026 - 6:07

31

Views

Percentage Similarity within Range

Published on 25 Mar 2026 - 7:34

74

Views

compare the numbers: $A = \frac{a}{b}+\frac{b}{c}+\frac{c}{a}$ and $B =\frac{b}{a} + \frac{a}{c }+\frac{c}{b}$

Published on 25 Mar 2026 - 6:07

1.2k

Views

Show by hand : $e^{e^2}>1000\phi$

Published on 25 Mar 2026 - 5:59

250

Views

Proving $3^{100} > 5\cdot10^{47}$ with integral representation

Published on 25 Mar 2026 - 6:00

146

Views

Show $\root{-e}\of{e}<\ln2$ without a calculator

Published on 25 Mar 2026 - 6:08

List Question

Prove which term is bigger in magnitude

How do we compare $8^{2700}$ and $3^{5500}$ without using the logarithm?

Prove by using convexity: $33\sin33^{\circ}+29\sin29^{\circ}+28\sin28^{\circ}>45$

Problem with exponents and inequalities

Compare $A$ and $B$

Inequality using order relation

Comparing log with rationals

Show that $\sqrt{10}+\sqrt{26}+\sqrt{17}+\sqrt{37} \gt \sqrt{341}$

How can I prove that $\sqrt{3}-\sqrt{2}-0.32<0$

How would you go about finding the exponent for any given x that most closely matches or surpasses factorial growth?

Percentage Similarity within Range

compare the numbers: $A = \frac{a}{b}+\frac{b}{c}+\frac{c}{a}$ and $B =\frac{b}{a} + \frac{a}{c }+\frac{c}{b}$

Show by hand : $e^{e^2}>1000\phi$

Proving $3^{100} > 5\cdot10^{47}$ with integral representation

Show $\root{-e}\of{e}<\ln2$ without a calculator

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