SOLUTION: Solve for x algebraically: {{{log(2,x)+log(2,x+2)-log(2,4-x)=2}}}

Question 258141: Solve for x algebraically:
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
Remember when you add logs this is the same a multiplying big information. When you subtract logs this is the same as dividing big information. Using rules of logs we get
(i)
now, rewriting using exponents, we get
(ii)
cross multiply to get
(ii)
setting = 0, we get
(iv)
simplify to get
(v)
factor to get
(vi)
solving for x, we get
x = -8
or
x = 2.
Since x = -8 is not a solution, we are left with x = 2.
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