If log y + 2 log x = 2, the value of y in terms of x is :

1. x² ÷ 100

2. 100 ÷ x²

3. x ÷ 10

4. 10 ÷ x

Given,

⇒ log y + 2 log x = 2

⇒ log y + log x² = 2

⇒ log yx² = 2

⇒ yx² = 10²

⇒ yx² = 100

⇒ y = 100 ÷ x².

Hence, Option 2 is the correct option.