SOLUTION: Please solve lg(8x-x^2)<2lg2+lg3

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Please solve lg(8x-x^2)<2lg2+lg3      Log On


   

Question 924222: Please solve lg(8x-x^2)<2lg2+lg3
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
solve lg(8x-x^2)<2lg2+lg3
log%28%288x-x%5E2%29%29%3Clog%284%29%2Blog%283%29
log%28%288x-x%5E2%29%29%3Clog%2812%29
8x-x^2<12
x^2-8x+12>0
(x-6)(x-2)>0
number line:
<..+..2..-..6..+..>
solution: (-∞,2) U (6,∞)