Which of the following should be done to both sides of the equation x12=6

to solve the value of x
?(1 point)
Responses

multiply by 6
multiply by 6

divide by 12
divide by 12

multiply by 12
multiply by 12

multiply by −12

1 answer

To solve the equation \( x^{12} = 6 \) for \( x \), 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 this option is not provided, the correct action among your given choices is:

divide by 12.

It implies isolating \( x \) on one side if you had something like \( x^{12} = 12 \), but in this case, you would rather not divide since it would change the equation.

The most straightforward option based on the choices provided would be:

divide by 12, as this is the choice that most closely relates to solving for \( x \).

On the other hand, for the specific equation, to isolate \( x \), the proper solution should involve taking the 12th root or raising both sides to the power of \( \frac{1}{12} \).

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