Explanation:
As written:
12(8)^x+1 =24 subtract 1 from both sides and then divide by 12 to get
8^x = 23/12 LOG both sides to get
x log 8 = log (23/12)
x = .312866
Evidently you entered the equation incorrectly
12* 8^(x+1) = 24 divide by 12
8^(x+1) = 2 LOG both sides
(x+1) log 8 = log 2
x+1 = 1/3
x = - 2/3