document.write( "Question 1125393: Given that: p²+q²=11pq, where p and q are constants, show that ½(logp+logq) equals:
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Algebra.Com's Answer #741713 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "            Notice that the condition ASSUMES that p > 0; q > 0,\r
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\n" ); document.write( "\n" ); document.write( "(a)   show that $\"%281%2F2%29%2A%28log%28p%29%2Blog%28q%29%29\"$ equals log $\"%28%28p%2Bq%29%2Fsqrt%2813%29%29%29\"$ \r
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document.write( " = 11pq  ====>  add 2pq to both sides. You will get  ====>\r\n" );
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document.write( " = 13pq  ====>\r\n" );
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document.write( " = 13pq  ====>  take the logarithm from both sides ====>\r\n" );
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document.write( "2*log(p+q) = log(13) + log(p) + log(q)\r\n" );
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document.write( "2*log(p+q) - log(13) = log(p) + log(q)\r\n" );
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document.write( "2*(log(p+q) - 2*log(sqrt(13))) = log(p) + log(q)\r\n" );
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document.write( "log  = .\r\n" );
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