Solve for x 4^x=3/2x+3

$4^{x} = \frac{3}{2} x + 3$

Combine $\frac{3}{2}$ and $x$ .

$4^{x} = \frac{3 x}{2} + 3$

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx - 1.95569388, 1.11122189$