SOLUTION: 2log base 2 (x-6)- log base 2(4)=4

Question 1077171: 2log base 2 (x-6)- log base 2(4)=4
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
this is log 2{ (x-6)^2/4}=4 or
log 2 (x-6)^2=6, because log2 (4)=2
2^6=(x-6)^2
x^2-12x+36=64
x^2-12x-28=0
(x+2)(x-14)=0
x=-2 and 14
-2 will give a negative log, so that root is ignored.
x=14 ANSWER
check
2 log2 (8)-log2 (4)=2*3-2=4, which checks.
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