document.write( "Question 1043492: If a^2+b^2=5ab,show that 2 log(a+b)=log 7 + log a + log b? \n" ); document.write( "

Algebra.Com's Answer #658654 by ikleyn(52858) $\"\"$ $\"About$

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\n" ); document.write( "If a^2 + b^2=5 ab, then prove that 2 log (a+b)=log 7+log a+log b
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document.write( "If  = , then\r\n" );
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document.write( " =     (after adding 2ab to both side)\r\n" );
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document.write( " = .\r\n" );
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document.write( "Now take the logarithm of both sides (assuming a > 0, b > 0, which MUST be pointed in the condition, but mistakenly missed).\r\n" );
document.write( "You will get\r\n" );
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document.write( "2*log(a+b) = log(7) + log(a) + log(b),   QED.\r\n" );
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