A Challenging Harvard Admission Question! 🧠

A Challenging Harvard Admission Question! 🧠 Can you solve this exponential system from a Harvard University entrance exam? At first glance, it seems there are too many variables for just one equation, but the properties of powers of 2 make this a fascinating logic puzzle. The Challenge: Given: 2^a + 2^b + 2^c = 148 Find: a + b + c = ? In this video, we will explore: ✅ How to factor out the smallest power of 2 to simplify the sum. ✅ Analyzing the number 148 and its prime factorization (2² * 37). ✅ Using parity and logic to determine the integer values of a, b, and c. ✅ Step-by-step algebraic deduction for a clear solution. This problem tests your number theory intuition and algebraic manipulation. Did you manage to find the values of a, b, and c without a calculator? Share your method and final answer in the comments! 👇 #HarvardMath #Algebra #ExponentialEquations #Mathematics #MathTricks #SolveForABC #Education #Harvard #LogicPuzzles