SOLUTION: Please help me solve this problem: log2 x+ log2 (x+2)-log2 3=4

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Question 734068: Please help me solve this problem:
log2 x+ log2 (x+2)-log2 3=4

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me solve this problem:
log%282%2C%28x%29%29%2Blog%282%2C%28x%2B2%29%29-log%282%2C%283%29%29=4
log2[x(x+2)/3]=4
log2[x(x+2)/3]=log2(16)
x(x+2)/3=16
x^2+2x=48
x^2+2x-48=0
(x+8)(x-6)=0
x=-8 (reject, (x+2)>0)
or
x=6