Question

Solve the equation for x by graphing. -4x-1=5^x+4

Answer 1

x=-1.282

Explanation:

To solve the equation
`-4x-1=5^x+4` by graphing, you have to plot graphs of two functions:

`y=-4x-1\\ \\y=5^x+4`

The x-coordinate of the point of intersection is the solution of the equation.

The graph of the function
`y=-4x-1` is shown in attached diagram with red line and the graph of the function
`y=5^x+4` is shown with blue curve.

The point of intersection has approximate coordinates (-1.282, 4.127), so the solution (correct to three decimal places) of the equation is x=-1.282