document.write( "Question 685554: If a^2 + b^2 =14ab, prove that log ((a+b)/4) = 1/2 (log a+log b ) \n" ); document.write( "
Algebra.Com's Answer #424491 by mananth(16946)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"a%5E2+%2B+b%5E2+=+14ab\"\r
\n" ); document.write( "\n" ); document.write( "Add 2ab to both sides
\n" ); document.write( "\"a%5E2+%2B2ab+%2Bb%5E2=16ab\"\r
\n" ); document.write( "\n" ); document.write( "perfect square
\n" ); document.write( "\"%28a%2Bb%29%5E2=16ab\"\r
\n" ); document.write( "\n" ); document.write( "\"%281%2F16%29%28a%2Bb%29%5E2=ab\"\r
\n" ); document.write( "\n" ); document.write( "Take log on both sides
\n" ); document.write( "\"log%28%28%281%2F16%29%28a%2Bb%29%5E2%29%29=log%28%28ab%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"2log%28%28%281%2F4%29%28a%2Bb%29%29%29=log%28%28ab%29%29\"
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