document.write( "Question 200668: If 2log(x+y)=logx+logy+4log2, then show that x2+y2=14xy\r
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Algebra.Com's Answer #150914 by vleith(2983) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let's start on the left side and manipulate the logs to get something a little less cluttered
\n" ); document.write( " $\"+2log%28x%2By%29=logx%2Blogy%2B4log2\"$
\n" ); document.write( " $\"+log%28%28x%2By%29%5E2%29=log%28%28xy2%5E4%29%29\"$
\n" ); document.write( " $\"%28x%2By%29%5E2+=+16xy\"$
\n" ); document.write( " $\"x%5E2+%2B+2xy+%2B+y%5E2+=+16xy\"$
\n" ); document.write( " $\"x%5E2+%2B+y%5E2+=+14xy\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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