Question

Solve for x: 2x^5/3-22=464 a) x = 28 b) x = 27 c) x = ±27 d) x = ±28

Answer 1

x = 27

Explanation:

Given the expression
`{2x^{(5)/(3) }-22 = 464`, we are to find the value of x in the expression. This is as shown below;

`{2x^{(5)/(3) }-22 = 464`

add 22 to both sides

`{2x^{(5)/(3) }-22 = 464+22\\\\`

`{2x^(5/3) =486`

divide both sides by 2

`(2x^(5/3))/(2) =(486)/(2)\\ x^(5/3) = 243`

raise both sides to the power of 3/5

`(x^(5/3))^(3/5) = (243)^(3/5)\\x = (\sqrt[5]{243}) ^3\\x = 3^3\\x = 27`

Hence the value of x is 27