To solve the equation \( x^{12} = 6 \) for \( x \), you should take the 12th root of both sides. However, since that's not one of the provided options, the correct action to isolate \( x \) would be to take the root of both sides instead of multiplying or dividing.
In the context of the options given, if we assume "multiply by 12" means that you can adjust both sides equally, it does not help to isolate \( x \). Instead, if you want to keep it simple, you should indeed:
Use the 12th root: \( x = 6^{\frac{1}{12}} \)
Since that's not an option, none of the responses directly lead to solving for \( x \) correctly. However, dividing by 12 could be interpreted differently depending on context. If it's meant to apply on an expression involving \( x \), clarify on students accordingly.
From the listed options, you could choose:
- None apply correctly for isolating \( x \) since you need to perform operations involving roots to isolate \( x \) here.
Make sure to clarify this in your educational context.