Bot GPT 4-o mini To solve the equation \( x^{12} = 6 \) for \( x \), you should take the twelfth root of both sides. This is equivalent to raising both sides to the power of \( \frac{1}{12} \). However, from the provided options, to isolate \( x \), you can either:
- Divide both sides by 12 (this would be incorrect because you should be taking the twelfth root instead)
- Multiply both sides by 12 (this would also not help in isolating \( x \))
- Multiply both sides by 6 (this would not help in isolating \( x \))
- Multiply both sides by −12 (this would also not help)
Since none of the provided options are correct for solving this equation, the proper mathematical operation would be to raise both sides to the power of \( \frac{1}{12} \) or take the twelfth root of both sides.
Given the options, if you strictly need to choose one, it would be divide by 12, although this still won't provide the correct solution for \( x \).
For the correct process:
- You actually need \( x = 6^{\frac{1}{12}} \) (taking the twelfth root).
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