1. The problem statement, all variables and given/known data a^2 + 2^a = 100, where a is an integer, find a. 2. Relevant equations all laws of indices and laws of log, I think 3. The attempt at a solution By trial and error, answer can be easily determined, which is 6. However, I am unsure how to approach this problem with algebraic approach. My attempts with log basically fail, because i ended up with log (a+b), which I don't know how to carry on.