Question

PERGUNTA 1
Se
log2
$\sqrt{2}$
1024= x, então "x" vale:​

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo-a-passo:

$\mathsf{log_{2\sqrt{2}}\:\:1024 = x}$

$\mathsf{(2\sqrt{2})^x = 1024}$

$\mathsf{2^x.2^{\frac{x}{2}} = 1024}$

$\mathsf{2^{\frac{3x}{2}} = 2^{10}}$

$\mathsf{\dfrac{3x}{2}} = 10}$

$\mathsf{3x = 20}$

$\boxed{\boxed{\mathsf{x = \dfrac{20}{3}}}}$