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why $n^{\log{\log{n}}}=\log{n}^{\log{n}}$?

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#logarithms #exponentiation
55
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What $x$ satisfies $3^{4x}\cdot 9^6 = 81^8$?

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#logarithms #exponentiation
174
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What subset of the reals have unique prime factorizations if you allow rational exponents?

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#algebraic-number-theory #exponentiation #rational-numbers #prime-factorization #infinite-product
71
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When I graph $y=x^{1/2}$ why does it only show the positive y values.

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#graphing-functions #exponentiation #radicals
53
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Help with complex exponents general solutions!

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#complex-numbers #exponentiation
155
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Category-theoretical notion of logarithm

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#category-theory #logarithms #exponentiation #universal-property
331
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Show that exponential map between complex matrix and general linear group is surjective

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#linear-algebra #matrices #exponentiation #jordan-normal-form
222
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Jordan form of the exponential of a matrix

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#linear-algebra #matrices #exponentiation #jordan-normal-form
100
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how can $\sqrt{2}/4=1/2^{3/2}$

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#algebra-precalculus #exponentiation
237
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Logarithm Question With Square Root

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#logarithms #exponentiation
200
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How many squarings are needed to exceed 2?

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#exponentiation #binary
140
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A rigid exponential question

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#logarithms #exponentiation #lambert-w
75
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$e^{\pi i} = -1$ is this a fact or an assumption?

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#exponentiation
25
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Simplification of sum of exponentials?

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#exponentiation #simple-functions
63
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Solving the system $O_i=\frac1m\log(e^{v_im}+I_i^p\ell)$, with $i=1,2,3$, for $m$, $p$, $\ell$.

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#algebra-precalculus #systems-of-equations #exponentiation

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