Solve the equation for x by graphing. -2x-3=3^x+2

Question

Solve the equation for x by graphing.

`-2x-3=3^x+2`

Answer 1

x=-2.531

Explanation:

we have

`-2x-3=3^(x) +2`

we can divide the expression above into two equations

`y=-2x-3` --->equation A

`y=3^(x) +2` ----> equation B

The solution of the original expression is the same that the x-coordinate of the intersection point both graphs

using a graphing tool

The intersection point is (-2.531,2.062)

see the attached figure

therefore

The solution is x=-2.531