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 12
multiply by 12
multiply by −12
multiply by negative 12
divide by 12
divide by 12
multiply by 6
multiply by 6
The correct response is "divide by 6".
THAT'S NOT AN OPTION
Apologies for the oversight. In that case, the correct response would be to divide both sides of the equation by 12.
To solve for the value of x in the equation x^12 = 6, you need to perform the same operation to both sides of the equation. This ensures that the equation remains balanced and the value of x can be determined accurately.
Looking at the given options:
1. Multiply by 12: This would result in x^12 * 12 = 6 * 12, which does not simplify the equation or solve for x.
2. Multiply by -12: This operation would give x^12 * -12 = 6 * -12. Similarly, it does not lead to a solution for x.
3. Divide by 12: Dividing both sides of the equation by 12 yields x^12 / 12 = 6 / 12. This simplifies to x^12 / 12 = 1/2, but it does not give the value of x.
4. Multiply by 6: If you multiply both sides by 6, you get x^12 * 6 = 6 * 6. This simplifies to x^12 * 6 = 36. Although it simplifies the equation, it still does not provide the value of x.
None of the available options allow us to directly solve for the value of x in the equation x^12 = 6. Additional methods, such as using logarithms or trial and error, would be necessary to determine the value of x in this case.