Question

Determine o valor de:

Answer 1

Olá!

$log_{x} 128=7\\ \\ x^{7} =128\\ \\ x=\sqrt[7]{128} \\ \\ \boxed{x=2}$

$log_{17}(y+3)=log_{17}(2y+1)\\ \\ y+3=2y+1\\ \\ y-2y=1-3\\ \\ -y=-2~~~~~~~~.(-1)\\ \\ \boxed{y=2}$

Calculando    $\dfrac{x^{4} }{y^{3} }$   :

$\dfrac{x^{4} }{y^{3} }~~=~~\dfrac{2^{4} }{2^{3} }~~=~~~2^1=\\ \\ \\\\ \boxed{\dfrac{x^{4} }{y^{3} }=2}$

:)