SOLUTION: Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. log 2 (x + 2) + log 2 (x -

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. log 2 (x + 2) + log 2 (x -       Log On


   



Question 245558: Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.
log 2 (x + 2) + log 2 (x - 4) = 4

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
log 2 (x + 2) + log 2 (x - 4) = 4
2^(log 2 (x + 2)) * 2^( log 2 (x - 4)) =2^4
(x+2)(x-4)=16
x^2-2x-8=16
x^2-2x-24=0
(x-6)(x+4)=0
x=6
.
Ed