Determine the value of the unknown, a given that the functions defined by f(x) = -5(x-3)^2 +8 and g(x) = log_3(x-1)+a intersect at x=2. Show your work for full marks.

Answer 1

a is the unknown

Answer 2

substituting ... -5(2 - 3)^2 + 8 = log_3(2 - 1) + a

-5 (1) + 8 = log_3(1) + a

3 = 0 + a

Answer 3

math is hard-