In this question, we are tasked with solving the equation for the value of x
One of the easiest ways to go about this is to express the value on the right hand side of the equation in its third root
Mathematically, 2197 can be expressed as 13^3
This means we can rewrite the given expression as follows;
(3x + 4)^3 = 13^3
In this case, we can see that the powers are equal
If the powers are equal on both side, then we need to equate the base
This means that;
3x + 4 = 13
Collect like terms
3x = 13 - 4
3x = 9
divide both sides by 3
3x/3 = 9/3
x = 3