List questions from exponential-function

Published on 24 Jan 2017 - 20:57

478

Views

Terrible equation $(x+x^{\ln x})^{10}=2^{10}$

Published on 24 Jan 2017 - 22:01

773

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Convexity of $x\left(1+\frac1x\right)^x,\ x\ge 0$

Published on 25 Jan 2017 - 9:23

406

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Why is the absolute value of $e^{\Large{\frac{\pi i}{3}}}=\frac{1}{2}+i\frac{\sqrt{3}}{2}$ equal to $1$?

Published on 25 Jan 2017 - 10:51

58

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Ordering a sequence of numbers given under the form $2^p 3^q 5^r$

Published on 04 Apr 2026 - 4:39

158

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$(1+\frac{f(n)}{n})^n\sim\exp(f(n))$?

Published on 26 Jan 2017 - 19:08

51

Views

How do I reduce a series of non-like exponents? (trying to find a function from a series of functions)

Published on 10 Apr 2026 - 20:48

325

Views

What is the smartest way to show, that sinh(R)=R?

Published on 11 Apr 2026 - 20:29

50

Views

Isolating a variable that appears in the addend and exponent

Published on 12 Apr 2026 - 19:04

552

Views

An example of Matrix exponential

Published on 10 Apr 2026 - 17:54

61

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Evaluating/Simplifying a Limit

Published on 11 Apr 2026 - 10:41

1.7k

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About the behavior of $e^z = e^x e^{iy}$

Published on 08 Apr 2026 - 16:58

1k

Views

How can I determine the fundamental period of an exponential function?

Published on 13 Apr 2026 - 2:47

79

Views

How to intuitively deduce the relationship among exponent, log and root?

Published on 11 Apr 2026 - 10:28

350

Views

How to solve this limit: $\lim\limits_{x \to 0}\left(\frac{(1+2x)^\frac1x}{e^2 +x}\right)^\frac1x$

Published on 29 Jan 2017 - 11:59

List Question

Difficult exponential equation $6^x-3^x-2^x-1=0$

Terrible equation $(x+x^{\ln x})^{10}=2^{10}$

Convexity of $x\left(1+\frac1x\right)^x,\ x\ge 0$

Why is the absolute value of $e^{\Large{\frac{\pi i}{3}}}=\frac{1}{2}+i\frac{\sqrt{3}}{2}$ equal to $1$?

Ordering a sequence of numbers given under the form $2^p 3^q 5^r$

$(1+\frac{f(n)}{n})^n\sim\exp(f(n))$?

How do I reduce a series of non-like exponents? (trying to find a function from a series of functions)

What is the smartest way to show, that sinh(R)=R?

Isolating a variable that appears in the addend and exponent

An example of Matrix exponential

Evaluating/Simplifying a Limit

About the behavior of $e^z = e^x e^{iy}$

How can I determine the fundamental period of an exponential function?

How to intuitively deduce the relationship among exponent, log and root?

How to solve this limit: $\lim\limits_{x \to 0}\left(\frac{(1+2x)^\frac1x}{e^2 +x}\right)^\frac1x$

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