If log₃ x - log₃ 2 - 1 = 0; the value of x is :

1. 3

2. -3

3. -6

4. 6

Given,

⇒ log₃ x - log₃ 2 - 1 = 0

⇒ log₃ x = log₃ 2 + 1

⇒ log₃ x = log₃ 2 + log₃ 3

⇒ log₃ x = log₃ (2 × 3)

⇒ log₃ x = log₃ 6

⇒ x = 6.

Hence, Option 4 is the correct option.