# How do you solve (1/2)^(1-x) = 4?

$x = 3$
${\left(\frac{1}{2}\right)}^{1 - x} = 4 = {\left(\frac{1}{2}\right)}^{- 2}$
Then $1 - x = - 2$. Solving for $x$
$x = 3$