SOLUTION: log2(x+2)+log2(x-2)=5

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: log2(x+2)+log2(x-2)=5      Log On


   



Question 449843: log2(x+2)+log2(x-2)=5
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
log%282%2C%28x%2B2%29%29%2Blog%282%2C%28x-2%29%29=5
<==> log%282%2C+%28%28x%2B2%29%28x-2%29%29%29+=+5
<==> 2%5E5+=+x%5E2+-+4
<==> 36+=+x%5E2
<==> x = 6, or x = -6.
The second x-value won't satisfy the original equation, and so the final answer is x = 6.