Question

qual o valor do log (1/8) na base raiz de 2

Answer 1

Resposta:

$log_{ \sqrt{2} }( \frac{1}{8} ) = x \\ { \sqrt{2} }^{x} = \frac{1}{8} \\ {({2}^{ \frac{1}{2} } )}^{x} = {2}^{ - 3} \\ {2}^{ \frac{x}{2} } = {2}^{ - 3} \\ \frac{x}{2} = - 3 \\ x = - 3 .2 \\ x = - 6$