List questions from exponentiation

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Logarithm properties doubt

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A question on Exponential Equation

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modular exponentiation where exponent is 1 (mod m)

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166

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Is it possible to solve $i^2+i+1\equiv 0\pmod{2^p-1}$ in general?

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Why is exponentiation defined as $x^y=e^{\ln(x)\cdot y}$?

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528

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How do I solve $|\sinh(x+iy)|^2 = (\sin(y))^2+(\sinh(x))^2$

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61

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How do I compute the individual terms of a polynomial to the power of -1?

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78

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Find a holomorphic function that satisfies this equation

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573

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$n$-abelian Groups

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About definition of $a^b$ with $a \in \Bbb{R} \wedge b \in \Bbb{N}$

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121

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How hard is finding values such that

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87

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Converting powers of 3 into powers of 2?

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967

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Computing a large exp(x) in a numerically robust way.

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66

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How to solve the integral $\int x\cdot 9\cdot x^{2x^2} dx$

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List Question

Is $n^{\log c} = c^{\log n}$ true?

Logarithm properties doubt

A question on Exponential Equation

modular exponentiation where exponent is 1 (mod m)

Is it possible to solve $i^2+i+1\equiv 0\pmod{2^p-1}$ in general?

Why is exponentiation defined as $x^y=e^{\ln(x)\cdot y}$?

How do I solve $|\sinh(x+iy)|^2 = (\sin(y))^2+(\sinh(x))^2$

How do I compute the individual terms of a polynomial to the power of -1?

Find a holomorphic function that satisfies this equation

$n$-abelian Groups

About definition of $a^b$ with $a \in \Bbb{R} \wedge b \in \Bbb{N}$

How hard is finding values such that

Converting powers of 3 into powers of 2?

Computing a large exp(x) in a numerically robust way.

How to solve the integral $\int x\cdot 9\cdot x^{2x^2} dx$

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