Log16 (x squared - 3x + 12) = 1

Log_(16)(x^2 - 3x + 12) = 1
x^2 - 3x +12 = 16
x^2 - 3x - 4 = 0
x = [3 ± √(3^2 - 4(1)(-4))]/[2(1)] = [3 ± 5]/2 = 4, -1

The question is kind of confusing. if it's asking how many variations of answers can you give. then do 4^5 for your answer.this would be something like the first question could be a and the 2nd c or first b next c etc. if you can, ask the teacher for a better confirmation of what it's asking. if i'm assuming correctly what it's asking, it's 625 different variations.