Answer:
The answer to your question is: x = 6
Explanation:
Data
log(x) + log(x − 1) = log(3x + 12)
log x(x - 1) - log(3x + 12) = 0
log x(x - 1) / (3x + 12) = 0
Antilog x(x - 1) /(3x + 12) = 1
x² - x = 3x + 12
x² - x - 3x - 12 = 0
x² - 4x - 12 = 0
(x - 6) (x + 2) = 0
x1 = 6 x2 = -2
x2 is negative, but there are no negative logs, so -2 is not an answer to this equation.