Answer: (2.6, 0.4), (3.6,0.6) is the solution of given equations.
Explanation: Given Functions are:
f(x)=log(x) and g(x)=|x-3|
Since, the solution of the above equations will be get after solving these two equations. Or we can say that, the intersection point of the curves made by the above equation is the solution of the system.
After making the graph of functions f(x) and g(x) we observed that, f(x) and g(x) are intersecting at points (2.587, 0.413) ≈(2.6,0.4) and (3.55,0.55)≈(3.6,0.6).
Thus, solution of f(x) and g(x) are (2.6,0.4) and (3.6,0.6).
Therefore, options first and fourth is correct.