Question

If possible step by step explanation. thank you!

Answer 1

A

Explanation:

`((3x^(2) )^(1)/(2) )/(3^(1)/(2) ) =3`

`(3x^2)^(1)/(2) = 3^(1)/(2) x`

Remember that
`(x^b)/(x^c) =`x^(b-c)

Using that
`(3^(1)/(2)x )/(3^(1)/(2) )`=3^(1/2x-1/2)=3^((x-1)/2)

`3^(x-1)/(2) =3^1`

So we can say:
`(x-1)/(2) =1`, because the bases are the same

We can multiply both sides of the equation by 2. We get x-1=2, and x=3. Which is A.