Question

Resolva a equação 2x=raiz128elevado a 5

Answer 1

2x = raiz 128 elevado à 5
2x = raiz de: 34,359,738,368
2x = 185,363.80005
x= 185,363.80005 dividido p/ 2
x= 92,681.900025

Answer 2

Olá.

$2x=\sqrt{128})^5=$
$2x=(\sqrt{2^7})^5=$
$2x=(\sqrt{2^6\cdot2^1})^5=$
$2x=(2^3\sqrt{2^1})^5=$
$2x=(2^{15}\sqrt{2^5})=$
$2x=(2^{15}\sqrt{2^4\cdot2^1})=$
$2x=(2^{15}\cdot2^2\sqrt{2^1})=$
$2x=(2^{15+2}\sqrt{2^1})=$
$2x=(2^{17}\sqrt{2^1})=$
$x=\dfrac{(2^{17}\sqrt{2^1})}{2}=$
$x=2^{16}\sqrt{2^1}$

$\boxed{x=\boxed{2^{16}\sqrt{2^1}}=\boxed{65.536\sqrt{2}}=\boxed{92.405,76}}$

Qualquer dúvida, deixe nos comentários.
Bons estudos.