Question

qual o valor de x na igualdade ⁸√2⁴=x√2²?
a)4
b)6
c)8
d)12​

Answer 1

Resposta:

$a)4$

Explicação passo-a-passo:

$\sqrt[8]{(2) {}^{4} } = \sqrt[x]{(2) {}^{2} } = (2) {} {}^{ \frac{4}{8} } = (2) {}^{ {}^{ \frac{2}{x} } }$

$\frac{1}{2} = \frac{2}{x}$

$x = 2.2$

$x = 4$

Answer 2

$\Large\boxed{\begin{array}{l}\sf\sqrt[\sf8]{\sf 2^4}=\sqrt[\sf x]{\sf 2^2}\\\sf\sqrt[\sf8\div2]{\sf(2^2)^{2\div2}}=\sqrt[\sf x]{\sf2^2}\\\sf\sqrt[\sf4]{\sf 2^2}=\sqrt[\sf x]{\sf 2^2}\\\sf x=4\\\huge\boxed{\boxed{\boxed{\boxed{\sf\maltese\,alternativa\,a}}}}\end{array}}$