Question: Intersection between two curves

Dear all

I have two equations

the first one: f1(x)=r*x; 

and the second one: f29x)=exp(x);

where r in a real number.

Using maple i try to determine the number of solutions of f1(x)=f2(x) for different value of r.
Using maple, 
for r <0 its obvious we have only one solution, but for r =0; No solution 
My problem for r>0, using maple I trided to plot different curve but I can not conclude, the number of  roots for each value of r

Number_solution.mw

thank you for your help 

 

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