Question

como resolvo a expressão 2^-x=1/5

Answer 1

Oie, Td Bom?!

$2 {}^{ - x} = \frac{1}{5}$

$log_{2}(2 {}^{ - x} ) = log_{2}( \frac{1}{5} )$

$- x = log_{2}(5 {}^{ - 1} )$

$- x = - log_{2}(5) \: . \: ( - 1)$

$x = log_{2}(5)$

$x ≈2,32193...$

Att. Makaveli1996