Question

log (x + 3) + log (x - 5) = 2 log 3​

Answer 1

Answer: x=6

Step-by-step explanation:

log (x + 3) + log (x - 5)  = 2 log 3​

log (x + 3)(x - 5) = log 3^2

(x + 3)(x - 5) = 9

x^2 - 2x - 15 = 9

x^2 - 2x - 15 - 9 = 0

x^2 - 2x - 24 = 0

(x - 6)(x + 4) = 0

       x = 6,-4

Since the logarithm of a negative number doesnt exist,

                                x = 6