Three students solve a challenge math problem. Every day, the number of students who solve the problem doubles. There are 384 students enrolled in the class. If the number of students who solve the problem continues to increase at this rate, how long will it take until all of the students enrolled in the class solve the problem?

Choose the equation for the number of students who solved the problem, S, in terms of the number of days since the first students solved the problem, d, and the correct solution.