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 12
multiply by −12
multiply by negative 12
divide by 12
to solve the value of x
?(1 point)
Responses
multiply by 6
multiply by 6
multiply by 12
multiply by 12
multiply by −12
multiply by negative 12
divide by 12
Answers
GPT-4o mini
To solve the equation \( x^{12} = 6 \) for \( x \), you should take the 12th root of both sides. To do this appropriately, you can divide by 12 in the exponent. The correct response from the provided options would be:
**divide by 12**
However, what you'd typically do is raise both sides to the power of \( \frac{1}{12} \) to isolate \( x \):
\[
x = 6^{\frac{1}{12}}
\]
**divide by 12**
However, what you'd typically do is raise both sides to the power of \( \frac{1}{12} \) to isolate \( x \):
\[
x = 6^{\frac{1}{12}}
\]