SOLUTION: Solve ln(x-2)+ ln(x+1)= 2lnx

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve ln(x-2)+ ln(x+1)= 2lnx      Log On


   



Question 111062: Solve ln(x-2)+ ln(x+1)= 2lnx
Answer by HyperBrain(694) About Me  (Show Source):
You can put this solution on YOUR website!
ln%28x-2%29%2B+ln%28x%2B1%29=+2lnx
ln%28%28x-2%29%28x%2B1%29%29=ln%28x%5E2%29

Delogarizing,
%28x-2%29%28x%2B1%29=x%5E2
x%28x%2B1%29-2%28x%2B1%29=x%5E2
%28x%5E2%2Bx%29-%282x%2B2%29=x%5E2
x%5E2%2B%28x-2x%29-2=x%5E2
x%5E2-x-2=x%5E2
x%5E2-x%5E2-x-2=x%5E2-x%5E2
0-x-2=0
-x-2=0
-x-2%2B2=0%2B2
-x%2B0=2
-x=2
x=-2

Power up,
HyperBrain!