Show that the integral equation
z(t) = log(1 + t) ∫ cosâ»Â¹(ts)e^f(a) has a solution in C[0,1]. Justify your answer carefully. Hint: Use the contraction mapping theorem. You may need to work with a suitable subset of C[0,1] rather than C[0,1]. Identifying such a subset is part of the problem.