For this case we have the following equation:
[tex]6 ^ {- x} + 4 = 3x-1[/tex]
We must clear the value of x, we follow the steps below:
We subtract 3x on both sides of the equation:[tex]6 ^ {- x} -3x + 4 = -1[/tex]
Add 1 to both sides of the equation:
[tex]6 ^ {- x} - 3x + 4 + 1 = -1 + 1\\6 ^ {- x} - 3x + 5 = 0[/tex]
Each side of the equation is drawn, then the solution is the x value of the intersection point.
[tex]x = 1.68[/tex]
Answer:
See attached image
[tex]x = 1.68[/tex]
