Question

Find the value of x if

Answer 1

C. 4

Explanation:

We have the equation
`\sqrt[x]{81} =3` and are asked to find the value of x.

To find x, we need to find how many times 3 can go into 81 but as an exponent, instead of saying 3 * x it would be
`3^x`.

So find the value of each exponent by replacing it with each answer choice :

`3^8 = 6561`

`3^(27) = 7.6255975e+12`

`3^4 = 81`

`3^2 = 9`

Since to the power of 4 equals the cube root in the original equation, therefore B. is the answer.