Question

O valor de x é: $log _{2} ( \frac{ \sqrt{2} }{2} ) = x$

Answer 1

Boa noite Jesleys; vamos lá!

$log_2 \frac{ \sqrt{2} }{2} =x \\ (2^x= \frac{ \sqrt{2} }{2} )^2 \\ 2^{2x}= \frac{2}{4} \\ 2^{2x}= \frac{2}{4} \\ 2^{2x}= \frac{1}{2} \\ 2^{2x}= 2^{-1} \\ 2x= -1 \\\large\large{\boxed{\boxed{ x= - \frac{1}{2} }}$

Lembre-se:

$\large{\boxed{ \frac{1}{2} ~~\equiv~~2^{-1}}$