Question

Given that X


`{x}^(3)`
x

`{3}^(3)`
=

`{6}^(3)`
, find the value of X.​

Answer 1

`{x}^(3) * {3}^(3) = {6}^(3) \\ take \: cube \: root \: on \: both \: side \ \\ \sqrt[3]{ {x}^(3) } * \sqrt[3]{ {3}^(3) } = \sqrt[3]{ {6}^(3) } \\ x * 3 = 6 \\ x = (6)/(3) \\ x = 2 \\ thnk \: you`

Answer 2

`x = 2`

Explanation:

`x^(3) * 3^(3) = 6^(3)`

`=> (3x)^(3) = 6^(3)`

`=> 3x = \sqrt[3]{6^(3)} = 6`

`=> x = (6)/(3) = 2`