Question

qual pode ser o valor de X para que o resultado seja igual a raiz sétima de três elevado a cinco vezes raiz sétima de três elevado a X seja igual a três? (Responde rápido gentee)

Answer 1

$\sqrt[7]{3^5.\sqrt[7]{3^x}}=3\\\\\\3^5.\sqrt[7]{3^x}=3^7\\\\\\\sqrt[7]{3^x}=\frac{3^7}{3^5}\\\\\\3^x=\left(\frac{3^7}{3^5}\right)^7\\\\\\3^x=\left(3^{7-5}\right)^7\\\\\\3^x=\left(3^{2}\right)^7\\\\\\3^x=3^{~2~.~7}\\\\\\3^x=3^{14}\\\\\\\boxed{x=14}$