Question

PORFAAAAAAAAAAA!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

$log_{2}(8)$

Explicación paso a paso:

Aplicando propiedades de los exponentes:

${a}^{b + c} = {a}^{b} {a}^{c}$

$log_{a}( {a}^{b} ) = b$

Resolvemos:

${2}^{3} {2}^{x } + {2}^{2} {2}^{x} = 96$

${2}^{x} ( {2}^{3} + {2}^{2} ) = 96$

${2}^{x} (12) = 96$

${2}^{x} = \frac{96}{12}$

${2}^{x} = 8$

$log_{2}( {2}^{x} ) = log_{2}(8)$

$x = log_{2}(8)$