# How do you write (1/4)^-6=4096 in log form?

${\log}_{\frac{1}{4}} 4096 = - 6$
As ${a}^{b} = c$ can be written as ${\log}_{a} c = b$
${\left(\frac{1}{4}\right)}^{- 6} = 4096$ can be written as
${\log}_{\frac{1}{4}} 4096 = - 6$