Math Problem of the WeekThe Mathematics Problem of the Week is intended to give students an opportunity to use the knowledge they gain from their classes to solve interesting mathematical problems from various areas of mathematics. Submissions are scored, and the student with the highest cumulative score each semester will be award a $100 gift certificate to the Spirit & Supplies Shoppe! Rules:
The problems for the Fall 2014 semester are posted below. Formore information about the Problem on the Week, please contact Dr. Nick Wintz. SPRING 2015Problem 1: Let b and c be real numbers, and d fine the polynomial P(x) = x^{2} + bx + c. Suppose that P(P(1)) = P(P(2)) where P(1) ≠ P(2). Find P(4). Problem 2: Find the value(s) of a such that 1/log_{2}a + 1/log_{3}a + 1/log_{4}a = 1. Problem 3: Evaluate . 

