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Fungrim entry: 4d6416

ab=exp ⁣(blog ⁣(a)){a}^{b} = \exp\!\left(b \log\!\left(a\right)\right)
Assumptions:aC{0}andbCa \in \mathbb{C} \setminus \left\{0\right\} \,\mathbin{\operatorname{and}}\, b \in \mathbb{C}
TeX:
{a}^{b} = \exp\!\left(b \log\!\left(a\right)\right)

a \in \mathbb{C} \setminus \left\{0\right\} \,\mathbin{\operatorname{and}}\, b \in \mathbb{C}
Definitions:
Fungrim symbol Notation Short description
Powab{a}^{b} Power
Expez{e}^{z} Exponential function
Loglog ⁣(z)\log\!\left(z\right) Natural logarithm
CCC\mathbb{C} Complex numbers
Source code for this entry:
Entry(ID("4d6416"),
    Formula(Equal(Pow(a, b), Exp(Mul(b, Log(a))))),
    Variables(a, b),
    Assumptions(And(Element(a, SetMinus(CC, Set(0))), Element(b, CC))))

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2019-08-21 11:44:15.926409 UTC