If log_x 0.0016 = 4, then the value of x is:

1. 2

2. 0.2

3. 0.1

4. 4

Given,

⇒ log_x 0.0016 = 4

⇒ 0.0016 = x⁴

⇒ (0.2)⁴ = x⁴

⇒ x = 0.2

Hence, option 2 is the correct option.