Question

Find the number of solutions of $2^x+3^x+4^x-5^x=0$ (without using graphical calculator)

score 69 · Answer 1 · 2026-04-16 12:14:24

69

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Find the number of solutions of $2^x+3^x+4^x-5^x=0$ (without using graphical calculator)

Published on 16 Apr 2026 - 12:14

score 60 · Answer 2 · 2026-04-14 03:51:00

60

Views

Torus and homeomorphism

Published on 14 Apr 2026 - 3:51

score 39 · Answer 3 · 2026-04-10 16:09:35

39

Views

Writing a twice differentiable function as a linear combionation of exponentials

Published on 10 Apr 2026 - 16:09

score 82 · Answer 4 · 2026-04-16 22:59:09

82

Views

Solving $4^x = \log_2(x) + \sqrt{x-1} + 14$

Published on 16 Apr 2026 - 22:59

score 42 · Answer 5 · 2026-04-14 07:49:16

42

Views

Integrate a complex exponential

Published on 14 Apr 2026 - 7:49

score 27 · Answer 6 · 2026-04-12 01:52:13

27

Views

express log-log relationship as an exponential relationship

Published on 12 Apr 2026 - 1:52

score 48 · Answer 7 · 2026-04-09 22:43:50

48

Views

Properties of sum of two exponential functions

Published on 09 Apr 2026 - 22:43

score 51 · Answer 8 · 2026-04-17 08:35:01

51

Views

Why is $\sum_{m=0}^{\lfloor xs\rfloor} 2 \binom{s}{m} p^m (1-p)^{s-m} \leq 2\exp{\left(-\frac{2(\lfloor xs\rfloor - sp)^2}{s}\right)}$

Published on 17 Apr 2026 - 8:35

score 29 · Answer 9 · 2026-04-14 22:26:31

29

Views

Why does the power series form of the exponential equal 0 when evaluated at 0?

Published on 14 Apr 2026 - 22:26

score 126 · Answer 10 · 2026-04-17 13:59:41

126

Views

Solve the equation $\left(\frac{1+\sqrt{1-x^2}}{2}\right)^{\sqrt{1-x}} = (\sqrt{1-x})^{\sqrt{1-x}+\sqrt{1+x}}$

Published on 17 Apr 2026 - 13:59

score 123 · Answer 11 · 2026-04-12 23:51:29

123

Views

Is there a way to exploit local redundancy in a function to speed up Monte Carlo integration?

Published on 12 Apr 2026 - 23:51

score 738 · Answer 12 · 2026-04-12 21:19:40

738

Views

"Bizarre" continued fraction of Ramanujan! But where's the proof?

Published on 12 Apr 2026 - 21:19

score 135 · Answer 13 · 2026-04-15 21:35:59

135

Views

Show that $\bigl| e^x + e^{-x}-2-x^2\bigr| \le {x^4 \over 6} $ for $|x| \leq 1$

Published on 15 Apr 2026 - 21:35

score 1.3k · Answer 14 · 2026-04-11 10:33:46

1.3k

Views

How to solve for nth term in series

Published on 11 Apr 2026 - 10:33

score 77 · Answer 15 · 2026-04-16 13:32:24

77

Views

derivative of $\frac{d}{dn}(1+\epsilon/2n)^n.$

Published on 16 Apr 2026 - 13:32

List Question

Find the number of solutions of $2^x+3^x+4^x-5^x=0$ (without using graphical calculator)

Torus and homeomorphism

Writing a twice differentiable function as a linear combionation of exponentials

Solving $4^x = \log_2(x) + \sqrt{x-1} + 14$

Integrate a complex exponential

express log-log relationship as an exponential relationship

Properties of sum of two exponential functions

Why is $\sum_{m=0}^{\lfloor xs\rfloor} 2 \binom{s}{m} p^m (1-p)^{s-m} \leq 2\exp{\left(-\frac{2(\lfloor xs\rfloor - sp)^2}{s}\right)}$

Why does the power series form of the exponential equal 0 when evaluated at 0?

Solve the equation $\left(\frac{1+\sqrt{1-x^2}}{2}\right)^{\sqrt{1-x}} = (\sqrt{1-x})^{\sqrt{1-x}+\sqrt{1+x}}$

Is there a way to exploit local redundancy in a function to speed up Monte Carlo integration?

"Bizarre" continued fraction of Ramanujan! But where's the proof?

Show that $\bigl| e^x + e^{-x}-2-x^2\bigr| \le {x^4 \over 6} $ for $|x| \leq 1$

How to solve for nth term in series

derivative of $\frac{d}{dn}(1+\epsilon/2n)^n.$

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