To solve the equation \( x^{12} = 6 \) for \( x \), you need to eliminate the exponent. To do this, you should take the 12th root of both sides. This is equivalent to raising both sides to the power of \( \frac{1}{12} \).
However, since that option is not listed, we can interpret the question to determine which operation helps simplify towards solving for \( x \).
Let's evaluate the provided options:
- Multiply by 12: This would not help you solve for \( x \).
- Multiply by -12: This also would not help you solve for \( x \).
- Multiply by 6: Similar to the previous options, this wouldn’t assist in isolating \( x \).
- Divide by 12: This could move in the right direction as it’s at least an operation that simplifies the equation, but we actually want to raise the equation to a different exponent.
However, the most logical operation for solving (though not listed) would be taking the 12th root or raising both sides to \( \frac{1}{12} \).
Given the options and focusing on a simplification that helps isolate \( x \), dividing by 12 would minimally assist towards the solution.
So the best answer among the options provided is:
divide by 12.
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