SOLUTION: Hi goodnight can you solve for x: log (x - 1) + log (x + 1) = 2 log (x + 2) did it already got an answer of 5/4 ...can you just do it with working so i know i did it right

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hi goodnight can you solve for x: log (x - 1) + log (x + 1) = 2 log (x + 2) did it already got an answer of 5/4 ...can you just do it with working so i know i did it right       Log On


   

Question 909305: Hi goodnight can you solve for x:
log (x - 1) + log (x + 1) = 2 log (x + 2)
did it already got an answer of 5/4 ...can you just do it with working so i know i did it right
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

log+%28x+-+1%29+%2B+log+%28x+%2B+1%29+=+2+log+%28x+%2B+2%29


log+%28%28x+-+1%29+%28x+%2B+1%29%29+=+log+%28%28x+%2B+2%29%5E2%29 ..., if log equal then

%28x+-+1%29+%28x+%2B+1%29+=+%28x+%2B+2%29%5E2 is equal too...
now, solve for x
x%5E2+-+1+=+x%5E2+%2B+4x%2B4
cross%28x%5E2%29+-+1+=+cross%28x%5E2%29+%2B+4x%2B4
-+1-4+=+4x
-5+=+4x
-5%2F4+=+x