Question

Qual o valor de y na expressão abaixo :

Answer 1

Resposta:

y=3

Explicação passo-a-passo:

$\displaystyle y=log_{\sqrt{5} }5\sqrt{5}\\(\sqrt{5})^{y}=5\sqrt{5}\\(5)^{\frac{1}{2}.y }=5.(5)^{\frac{1}{2}}\\5^{\frac{y}{2}}=5^{(1+\frac{1}{2})}\\\\\frac{y}{2} =1+\frac{1}{2}\\\\y=2(1+\frac{1}{2})\\\\y=2+1\\y=3$