Question

If possible step by step explanation. thank you!

Answer 1

Answer:

A

Step-by-step explanation:

$\frac{(3x^{2} )^\frac{1}{2} }{3^\frac{1}{2} } =3$

$(3x^2)^\frac{1}{2} = 3^\frac{1}{2} x$

Remember that $\frac{x^b}{x^c} =$x^(b-c)

Using that $\frac{3^\frac{1}{2}x }{3^\frac{1}{2} }$=3^(1/2x-1/2)=3^((x-1)/2)

$3^\frac{x-1}{2} =3^1$

So we can say: $\frac{x-1}{2} =1$, 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.