Question

Log de sete sobre três ( 9/49. )

Answer 1

Explicação passo-a-passo:

$log_{ \frac{7}{3} }( \frac{9}{49} ) = \frac{ log( \frac{9}{49} ) }{ log( \frac{7}{3} ) } \\ = \frac{ log( \frac{ {3}^{2} }{ {7}^{2} } ) }{ log( \frac{7}{3} ) } \\ = \frac{ log( ({ \frac{3}{7} })^{2} ) }{ log( \frac{7}{3} ) } \\ = \frac{ log( ({ \frac{7}{3} })^{ - 2} ) }{ log( \frac{7}{3} ) } \\ = \frac{ - 2log( \frac{7}{3} ) }{ log( \frac{7}{3} ) } \\ = - 2$