Question

If x3 = 27, what is the value of x?

Answer 1

The value of x is 3

Explanation:

Given:

`x^3 = 27`

To Find:

x = ?

Solution:

We Know that

`a = (a^3)^(1)/(3)`

`a = (a)^(3)/(3)`

We can write 27 as
`3 * 3 * 3` =
`3^3`

Taking cube root on both sides

`(x^3)^{(1)/(3) }= (3^3)^{(1)/(3)}`

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

`x^1 = 3^1`

x = 3