#### Answer

These are: $x\approx1.3$ and $x=-0.5$

#### Work Step by Step

Here, we have to graph functions on the two sides of the equation. $3x+2=4^x$
So by graphing the functions $f(x)=3x+2$ (in blue) and $g(x)=4^x$ (in green), we can see that, there are two intersection points, therefore there will be two solutions.
These are: $x\approx1.3$ and $x=-0.5$