Question

Como faço para resolver log 0,5 base raiz de 2?

Answer 1

a)
$\log_{ \sqrt{2} } 0,5=x$

$( \sqrt{2} )^x=0,5$

$2^{ \frac{x}{2} } = \frac{5}{10}$

$2^{ \frac{x}{2} } = \frac{1}{2}$

$2^{ \frac{x}{2} } = 2^{-1}$

$\frac{x}{2} =-1$

$x=-2$