SOLUTION: Solve the application problem Log2 (x) = 3-log2 (x-2)

Question 1007096: Solve the application problem
Log2 (x) = 3-log2 (x-2)
Answer by ikleyn(52866) (Show Source): You can put this solution on YOUR website!
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Solve the application problem
Log2 (x) = 3-log2 (x-2)
------------------------------

 =  -  ----->  =  ----->  =  ----->

 = .

Factor it:

(x-4)*(x+2) = 0.

The roots are x = 4 and x = -2.

Negative x doesn't work due to logarithm . . . 

x = 4 works well.

Answer. x = 4.

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