[tex]1) y=-5^{-x}, y = x+5 ,
\\ \\ -5^{-x}=x+5
\\ \\ ln(-5^{-x})=ln(x+5)
\\ \\ ln(- \frac{1}{5^{x}} )=ln(x+5),
you cannot find ln of negative number, so it is going to be
"0" solutions.
[/tex]
The graphs of these equations will not intersect.
[tex]2) y = 4(1.2)^{x}, y = x+7
\\ \\ x+7= 4(1.2)^{x}
graphs have 2 intersects, so two solutions.[/tex]
3) [tex]y= {0.5}^{x} , y =6, \ 6=0.5^{x}
One intercept. so one solution[/tex]
