Question
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
multiply by −12
multiply by negative 12
multiply by 12
multiply by 12
divide by 12
divide by 12
To solve for the value of x in the equation x^12 = 6, you should do the following to both sides of the equation:
1. Divide by 12.
To solve for the value of x in the equation x^12 = 6, we need to perform the same operation on both sides of the equation. Let's go through each option to see which one is correct.
1. Multiply by 6: This option is incorrect. If we multiply both sides by 6, we will get 6x^12 = 36. This does not help in solving for x.
2. Multiply by -12: This option is incorrect. Multiplying both sides by -12 would result in -12x^12 = -72. Again, this does not help in solving for x.
3. Multiply by 12: This option is incorrect. Multiplying both sides by 12 would give us 12x^12 = 72. This still does not help in solving for x.
4. Divide by 12: This option is correct. Dividing both sides by 12 will give us x^12/12 = 6/12. Simplifying this further, we get x^12/12 = 1/2. By dividing both sides by 12, we have isolated x^12, and we can now take the 12th root on both sides of the equation to find the value of x.
In conclusion, to solve for the value of x in the equation x^12 = 6, we need to divide both sides by 12.