Answer:
-1.25.
Explanation:
Given :
![-4x-1 = 5^x+4](https://img.qammunity.org/2019/formulas/mathematics/high-school/nuub37fn6h9q1xv1mzeesbnk2n6ij5sqxa.png)
To Find: Solve the equation for x by graphing
Solution:
![y=-4x-1](https://img.qammunity.org/2019/formulas/mathematics/high-school/2y8skg4s2w7giann29iqcfph0is7lgh3gc.png)
![y= 5^x+4](https://img.qammunity.org/2019/formulas/mathematics/high-school/gd50uwl6h96x8ag4hr4ivzmwpm4az83ubj.png)
Plot the graphs
The intersection point of these two equations will give the value of x.
So,
-- green line
-- purple line
Intersection point : (-1.282,4.127)
So, x = - 1.282 ≈ -1.25
The value of x is -1.25.