Question

[tex] {3}^{ log_{3}(5)log_{5}(3)}
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Answer 1

$3 {}^{ log_{3}(5) \times log_{5}(3) }$

Vou usar essa propiedade:

$log_{a}(b) = \frac{ log_{c}(b) }{ log_{c}(a) }$

$3 {}^{ \frac{ log(5) }{ log(3) } \times \frac{ log(3) }{ log(5) } } \\ \\ 3 {}^{1}$