You can
put this solution on YOUR website!i assume the 2 is the base of the log. You should explain. I shall leave the 2 out, for ease of writing...
log(x)+log(x-6)=4
To remove log-base 2, we need to raise the left and right hand terms to power 2. We can only do that easily when we have 1 term on both sides, so first we re-write the equation as:
log((x)(x-6))=4
And now we raise to power 2, giving

(x-8)(x+2) = 0
so either x=8 or x=-2
jon.