Question

quanto e log de 1\64 na base de 1\4

Answer 1

log de 1/64 na base 1/4

$\frac{1}{4} ^{x} = \frac{1}{64}$

$\frac{1}{ 2^{2} } ^{x} = \frac{1}{ 2^{6} }$

$(2^{-2} ) ^{x} = 2^{-6}$

$2^{-2x} = 2^{-6}$

$-2x = -6 (-1)$

$2x = 6$

$x = \frac{6}{2}$

$x = 3$