SOLUTION: ln(4-x)+ln2=2lnx

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Question 440076: ln(4-x)+ln2=2lnx
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
ln%284-x%29+%2B+ln2+=+lnx%5E2
<==> ln%282%284-x%29%29+=+lnx%5E2
<==> 2%284-x%29+=+x%5E2
<==> x%5E2+%2B+2x+-8=0
<==> (x + 4)(x-2) = 0 ==> x = -4, 2.
We cannot accept the solution x = -4 since it doesn't satisfy the original equation. X=2 satisfies the original equation, so is the final answer.