SOLUTION: Solve. Round decimal answers to four decimal places. {{{log(3,(x-2))+log(3,(x+6))=2}}}

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve. Round decimal answers to four decimal places. {{{log(3,(x-2))+log(3,(x+6))=2}}}      Log On


   

Question 898909: Solve. Round decimal answers to four decimal places.
log%283%2C%28x-2%29%29%2Blog%283%2C%28x%2B6%29%29=2
Answer by Jc0110(165) About Me  (Show Source):
You can put this solution on YOUR website!
log%283%2C%28x-2%29%29%2Blog%283%2C%28x%2B6%29%29=2
log%283%2C%28x-2%29%2A%28x%2B6%29%29=2
log%283%2C%28x%5E2%2B4x-12%29%29=2
x%5E2%2B4x-12=3%5E2
x%5E2%2B4x-12=9
x%5E2%2B4x-12-9=0
x%5E2%2B4x-21=0
%28x%2B7%29%28x-3%29=0
x=+-7++or++3
x=+-7 is not acceptable as it is in negative which cannot be solved.
x=3 is acceptable.