1. Find all r so that 13r - 1) - |x - 3) = 2x - 1. Prove that you have all solutions. 2. Prove that : 430.is an irrational number 3. Let 21 - v2 and Im VI +,-1. Prove that for all n 2 1, I, is an irrational number. 4. Prove that log, 32 is an irrational number. 5. What is the remainder when (2346455), is divided by by 497