1. The problem statement, all variables and given/known data 2. Relevant equations 3. The attempt at a solution There isn't a problem here, it's an example they gave, but I don't get how you can get the answer without using logs. 2^(2x+1) = 1/32 2^(2x+1) = 2^(-5) How do they know that it's -5? Same thing for: 3^(x-1) = 27 3^(x-1) = 3^3 Is it just trial and error? I've tried a bunch of different methods but none have worked.