List questions from exponential-function

Published on 25 Mar 2026 - 14:27

66

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How can I solve the inequality $e^{2x^2 + x} \geq \frac{1}{\sqrt{1-2x}}$

Published on 06 Apr 2020 - 7:35

62

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Given: $\frac{\log_{10}z}{y-x} = \frac{\log_{10}y}{x-z} = \frac{\log_{10}x}{z-y},$ prove: a) $x^x\times y^y\times z^z =1,$ b) $x\times y \times z =1.$

Published on 06 Apr 2020 - 17:15

32

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Proving a function f has a maxima given its two asymptotic ends

Published on 06 Apr 2026 - 5:53

213

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Nice integral $\int_{0}^{\infty}\frac{x\log(x)}{e^{x^2}+1}dx=?$

Published on 07 Apr 2026 - 8:05

45

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Solution for $a^x = b x^{-2}$

Published on 25 Mar 2026 - 17:26

51

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geometric series diagram query.

Published on 05 Apr 2026 - 21:20

51

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What is the inverse of $ f(x)= \sqrt{\log_{3} (x)}$. Why is $g(x)= 3^{x^2}$ not properly $f$'s inverse?

Published on 25 Mar 2026 - 17:44

132

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Why is $\int_0^1 x^x \ln(x) \space dx = -\int_0^1 x^x \space dx$

Published on 08 Apr 2020 - 22:55

215

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Show $n!<\left(\frac{n}{e}\right)^{n+1}$

Published on 30 Mar 2026 - 4:39

28

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Propagation of infections

Published on 09 Apr 2020 - 14:10

75

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Solving an exponential in terms of another variable

Published on 09 Apr 2020 - 23:32

70

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What is it called when $x$ grows at a rate of $x^2$?

Published on 31 Mar 2026 - 14:16

108

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What is the intuitive relationship between the compound interest and that $\frac{d}{dx}e^x = e^x$?

Published on 12 Apr 2020 - 10:47

69

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How should I solve $2^x=4x$?

Published on 12 Apr 2020 - 13:34

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Calculations of Poisson CDF

How can I solve the inequality $e^{2x^2 + x} \geq \frac{1}{\sqrt{1-2x}}$

Given: $\frac{\log_{10}z}{y-x} = \frac{\log_{10}y}{x-z} = \frac{\log_{10}x}{z-y},$ prove: a) $x^x\times y^y\times z^z =1,$ b) $x\times y \times z =1.$

Proving a function f has a maxima given its two asymptotic ends

Nice integral $\int_{0}^{\infty}\frac{x\log(x)}{e^{x^2}+1}dx=?$

Solution for $a^x = b x^{-2}$

geometric series diagram query.

What is the inverse of $ f(x)= \sqrt{\log_{3} (x)}$. Why is $g(x)= 3^{x^2}$ not properly $f$'s inverse?

Why is $\int_0^1 x^x \ln(x) \space dx = -\int_0^1 x^x \space dx$

Show $n!<\left(\frac{n}{e}\right)^{n+1}$

Propagation of infections

Solving an exponential in terms of another variable

What is it called when $x$ grows at a rate of $x^2$?

What is the intuitive relationship between the compound interest and that $\frac{d}{dx}e^x = e^x$?

How should I solve $2^x=4x$?

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