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How to solve for the equation $ax \exp(bx)=c$?

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#algebra-precalculus #exponentiation
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A new imaginary number? $x^c = -x$

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#algebra-precalculus #complex-numbers #logarithms #exponentiation
388
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Are numbers : $(-1)^{i} , 1^{-i} , 1^{i} $ transcendental numbers?

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#complex-numbers #exponentiation #transcendental-numbers
117
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Integer exponentiation algorithm for the special case $3^n$

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#algorithms #exponentiation
164
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limit when searching $a^x$

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#limits #exponentiation
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Algorithm for computing powers

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#algorithms #exponentiation
9.1k
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Are these solutions of $2 = x^{x^{x^{\:\cdot^{\:\cdot^{\:\cdot}}}}}$ correct?

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#complex-numbers #roots #exponentiation #tetration #power-towers
327
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Slope definition of $e$

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#calculus #real-analysis #limits #exponentiation
471
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Which is the "fastest" paper-pencil method to compare $\sqrt[17]{6}$ and $\sqrt[16]{4}$?

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#algebra-precalculus #exponentiation
1.8k
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Is $n^n$ a perfect square or not?

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#elementary-number-theory #exponentiation
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What we can say about $(-\sqrt{2})^{(-\sqrt{2})^{(-\sqrt{2})^\ldots}}$?

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#roots #exponentiation
784
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Recursive algorithm for calculating powers

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#algorithms #exponentiation
208
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Solving $x^\frac{1}{x}=y$ for $x$

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#exponentiation
449
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$\lim_{n \to \infty}(1+\ln(1-\frac{1}{2n}))^n$

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#limits #exponentiation
137
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Using exponents when working with matrices

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#matrices #exponentiation

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