SOLUTION: i need help solving this equation {{{ log(2,x)+log(2,x-6)=4 }}}

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Question 374907: i need help solving this equation +log%282%2Cx%29%2Blog%282%2Cx-6%29=4+
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
+log%282%2Cx%29%2Blog%282%2Cx-6%29+=4+
+log%282%2Cx%28x-6%29%29+=4+
+x%28x-6%29+=+2%5E4+
+x%5E2-6x+=+16+
+x%5E2-6x-16+=+0+
+%28x-8%29%28x%2B2%29+=+0+
x = {-2, 8}
.
But, x=-2 turns out to be an "extraneous" solution so throw it out leaving:
x = 8