document.write( "Question 1204649: Given that P>1 and $\"1%2Flog%282%2CP%29\"$ + $\"1%2Flog%283%2CP%29\"$ + $\"1%2Flog%285%2CP%29\"$ + $\"1%2Flog%287%2CP%29\"$ + $\"1%2Flog%2811%2CP%29\"$ = $\"1%2Flog%28x%2CP%29\"$ , find the integral value of x \n" ); document.write( "

Algebra.Com's Answer #841038 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "Given that P>1 and $\"1%2Flog%282%2CP%29\"$ + $\"1%2Flog%283%2CP%29\"$ + $\"1%2Flog%285%2CP%29\"$ + $\"1%2Flog%287%2CP%29\"$ + $\"1%2Flog%2811%2CP%29\"$ = $\"1%2Flog%28x%2CP%29\"$ , find the integral value of x
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document.write( "Use an identity\r\n" );
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document.write( "     = ,\r\n" );
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document.write( "which is valid for any positive real \"a\" and \"b\".\r\n" );
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document.write( "Then your equation will take the form\r\n" );
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document.write( "     +  +  +  +  = .\r\n" );
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document.write( "It is the same as\r\n" );
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document.write( "     = ,\r\n" );
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document.write( "which you can transform further\r\n" );
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document.write( "     = \r\n" );
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document.write( "    x = 2310.\r\n" );
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document.write( "ANSWER.  x = 2310.\r\n" );
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