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 negative 12 multiply by 12
To solve the equation x12=6 and find the value of x, you would need to divide both sides of the equation by 12. Therefore, the correct response would be "divide by 12."
To solve for the value of x in the equation x^12 = 6, you should divide both sides of the equation by 6.
To solve the equation x^12 = 6, you need to isolate the variable x. To do this, you should perform the same operation to both sides of the equation. In this case, you should raise both sides of the equation to the reciprocal power of 12, because the exponent on x is 12. By doing this, you will cancel out the exponent and be left with x on one side and a number on the other side.
So, to solve for x in the equation x^12 = 6, you need to raise both sides to the reciprocal power of 12. This means taking the 12th root of both sides. Therefore, the correct answer is to take the twelfth root of both sides of the equation.
None of the given options specifically state taking the twelfth root. However, if we interpret "divide by 12" as dividing both sides by 12, then option "divide by 12" would be the closest to taking the twelfth root. Nonetheless, the most accurate answer would be to take the twelfth root of both sides of the equation.