SOLUTION: Solve and Verify: {{{ log(2,(2-2x))+log(2,(1-x))=5 }}}

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Question 299184: Solve and Verify:
+log%282%2C%282-2x%29%29%2Blog%282%2C%281-x%29%29=5+
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
+log%282%2C%282-2x%29%29%2Blog%282%2C%281-x%29%29=5+
+log%282%2C%282-2x%29%281-x%29%29=5+
+%282-2x%29%281-x%29=2%5E5+
+2-2x-2x%2B2x%5E2=32+
+2x%5E2-4x%2B2=32+
+x%5E2-2x%2B1=16+
+x%5E2-2x-15=0
+%28x%2B3%29%28x-5%29=0+
.
x = {-2, 5}
Toss out 5 as a solution, it's an extraneous solution leaving (causes problems with the original equation). Therefore, the solution:
x = -2