Question

qual o valor de X na igualdade
$\sqrt[8]{2} {}^{4} = \sqrt[x]{2} {}^{2}$
?​

Answer 1

Resposta:

Explicação passo-a-passo:

⁸√2⁴ = ˣ√2²

√2 = ˣ√2²

2¹/₂ = 2²/ˣ

1/2 = 2/x

x = 4

Answer 2

$\sf \sqrt[8]{2} {}^{4} = \sqrt[x]{2} {}^{2} \\ \\\sf 2 ^{ \frac{1}{2} } = \sqrt[x]{2 ^{2} } \\ \\\sf \sqrt{2} = 2 ^{ \frac{x}{2} } \\ \\\sf \frac{1}{2} = \frac{2}{x} \\ \\\sf x = 2 \times 2 \\ \\\sf \red{ x = 4}$