Question

Qual é o log de 512 na base 9

Answer 1

$log_{9}(512) = \frac{ log(512) }{ log(9) } = \frac{ log( {2})^{9} }{ log( {3})^{2} } \\ = \frac{9 log(2) }{2 log(3) } = \frac{9.0,30}{2.0,47} = 2,87$