If $\text{log}_{\sqrt{3}} \space x = 4$, the value of x is :

1. 12

2. 6

3. 9

4. 24

Given,

$\Rightarrow \text{log}_{\sqrt{3}} \space x = 4 \\[1em] \Rightarrow x = (\sqrt{3})^4 \\[1em] \Rightarrow x = 9.$

Hence, Option 3 is the correct option.