Answer:
x=-4.992 and x=-0.434
Step-by-step explanation:
we have
[tex]\frac{\sqrt{3x+15}}{5}=2^{x}[/tex]
we can divide the equation above into two equations
so
[tex]y=\frac{\sqrt{3x+15}}{5}[/tex] ----> equation A
[tex]y=2^{x}[/tex] ----> equation B
Solve by graphing
The solutions of the system are the x-coordinates of the intersection points both graphs
using a graphing tool
The solutions are x=-4.992 and x=-0.434
see the attached figure
