Do you mean the following:
log(5^(4/7))=around 0.4
log(5)^(4/7)=around 0.815
log(5^4)/7= same thing as top one
log((5^4)/7)=around 1.95
Part A:
We see that this pair of equations has 1 solution. On a graph, the solutions of 2 (or more) lines is where the lines intersect. In this case, since these lines intersect 1 time, they have 1 solution.
Part B:
As previously mentioned, the solutions of multiple lines is where the lines intersect. In this case, since they intersect at (4,4), that is the solution.
Answer:
the slope in the equation is 5, while the slope on the graph is 2