How do you solve root 3(3x-1)=2?

2 Answers
Mar 9, 2018

The solution is x=3.

Explanation:

Cube both sides of the equals sign, then solve for x:

root(3)(3x-1)=2

(root(color(red)cancelcolor(black)3)(3x-1))^color(red)cancelcolor(black)3=2^3

3x-1=2^3

3x-1=8

3x=9

x=3

Mar 9, 2018

x=3

Explanation:

root(3)(3x-1)=2
(3x-1)=2^3
(3x-1)=8
3x=9
x=3