a^2 + 2^a = 100, where a is an integer, find a.
all laws of indices and laws of log, I think
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.