SOLUTION: log(3)(x-4)=2-log(3)(x+4) please help me solve this equation. the two on the other side is throwing me off. i just dont get it.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: log(3)(x-4)=2-log(3)(x+4) please help me solve this equation. the two on the other side is throwing me off. i just dont get it.       Log On


   

Question 739055: log(3)(x-4)=2-log(3)(x+4)
please help me solve this equation.
the two on the other side is throwing me off. i just dont get it.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
log(3)(x-4)=2-log(3)(x+4)
log%283%2C%28x-4%29%2Blog%283%2C%28x%2B4%29%29=2%29
log%283%2C%28x-4%29%29%2Blog%283%2C%28x%2B4%29%29=log%283%2C%289%29%29
log%283%2C%28x-4%29%28x%2B4%29%29=log%283%2C%289%29%29
(x-4)(x+4)=9
x^2-16=9
x^2=25
x=5
or
x=-5(reject, (x-4)>0))