Solve the following logarithmic equations.
log(x) + log(x − 1) = log(3x + 12)

The answer to your question is: x = 6

Step-by-step 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.                        

add an !

step-by-step explanation:

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step-by-step explanation: