Question

Solve for x. 9^x = sqrt 729 A.)1/4 B.)1/3 C.)3/4 D.)3/2 please help this is urgent!!!

Answer 1

D

Explanation:

Using the law of radicals/ exponents

`\sqrt{a^(3) }` ⇔
`a^{(3)/(2) }`

Consider the right side

`√(729)` =
`\sqrt{9^(3) }` =
`9^{(3)/(2) }`

Thus

`9^(x)` =
`9^{(3)/(2) }`

Since the bases on both sides are equal, equate the exponents, so

x =
`(3)/(2)` → D