A company estimates that the monthly cost of gradually implementing a new process in its factory can be modeled by the function f(n)=1/4 (2)^0.25n where n is the number of months since implementation began. This cost continues to change up to a maximum monthly cost of m(n)= 200 dollars. Once the monthly cost reaches the maximum of $200, the process is fully implemented.
a. Write an equation to determine the number of months until full implementation.