Question

(PUC-MG) Sabe-se que Y é um número positivo e que 1/2 log y = log 2 - 1/4 log 3 . Qual o Valor de Y?

Answer 1

1/2 Log y = Log 2 - 1/4 Log 3
1/2 Log y = Log (2/3^1/4)
Log y^1/2 = Log (2/3^1/4)
y^1/2 = (2/3)^1/4
y^1/2 = (2/3)^(1/2)²
y^1/2 = [(2/3)²]^1/2
y = (2/3)²
y = 4/9