Question

find for x .if log (x - 3) + log (x + 3) = 2 log 4​

Answer 1

Answer:

$log(x - 3) + log(x + 3) = 2 log(4) \\ log(x - 3)(x + 3) = log( {4}^{2} ) \\ log( {x}^{2} - 9 ) = log(16) \\ {x}^{2} - 9 = 16 \\ {x}^{2} = 9 + 16 \\ {x}^{2} = 25 \\ \boxed{x = ±5}$

• x = ±5 is the right answer.