Question 806279
<img src="http://latex.codecogs.com/gif.latex?\large&space;\log_{2}(x)&space;&plus;&space;\log_{2}(x-2)&space;=&space;3" title="\large \log_{2}(x) + \log_{2}(x-2) = 3" />


<img src="http://latex.codecogs.com/gif.latex?\large&space;\log_{2}(x(x-2))&space;=&space;3" title="\large \log_{2}(x(x-2)) = 3" />


<img src="http://latex.codecogs.com/gif.latex?\large&space;\log_{2}(x^2-2x)&space;=&space;3" title="\large \log_{2}(x^2-2x) = 3" />


<img src="http://latex.codecogs.com/gif.latex?\large&space;x^2-2x&space;=&space;2^3" title="\large x^2-2x = 2^3" />


<img src="http://latex.codecogs.com/gif.latex?\large&space;x^2-2x&space;=&space;8" title="\large x^2-2x = 8" />


<img src="http://latex.codecogs.com/gif.latex?\large&space;x^2-2x-8=0" title="\large x^2-2x-8=0" />


<img src="http://latex.codecogs.com/gif.latex?\large&space;(x&plus;2)(x-4)=0" title="\large (x+2)(x-4)=0" />


I'll let you finish up.