To solve the equation \( x^{12} = 6 \) for \( x \), you should take the 12th root of both sides or raise both sides to the power of \( \frac{1}{12} \).
However, out of the given options, the appropriate mathematical operation to isolate \( x \) is to take both sides to the power of \( \frac{1}{12} \). But that is not listed.
Among your options, none are perfectly correct for isolating \( x \). If you were to choose from the provided responses, none directly solve for \( x \) in a standard sense.
If you must choose one operation and stay within the usual algebraic path to isolate \( x \), the closest correct approach might be to "multiply by \( \frac{1}{12} \)" or "take the 12th root", but given the options, divide by 12 might seem reasonable since dividing both sides would reduce the exponent on \( x \) but does not address the 12th power directly.
But for clarity, a mathematical operation that directly isolates \( x \) from the equation is required, and that operation is actually \( \sqrt[12]{6} \) which isn't listed.
So, if forced to choose from your options strictly, you would go divide by 12 to simplify, but it's crucial to understand that the true operation is raising both sides to \( \frac{1}{12} \).
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