document.write( "Question 477461: If\"a%5E2=b%5E3=c%5E5=d%5E6\", then prove \r
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Algebra.Com's Answer #327257 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "We are given:\r\n" );
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document.write( "\"a%5E2=b%5E3=c%5E5=d%5E6\"\r\n" );
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document.write( "Take logs base d: \r\n" );
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document.write( "\"log%28d%2Ca%5E2%29=log%28d%2Cb%5E3%29=log%28d%2Cc%5E5%29=log%28d%2Cd%5E6%29\"\r\n" );
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document.write( "Use the rule of logs that says the log of an exponential is\r\n" );
document.write( "the exponent times the log of the base of the exponent:\r\n" );
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document.write( "\"2log%28d%2Ca%29=3log%28d%2Cb%29=5log%28d%2Cc%29=6log%28d%2Cd%29\"\r\n" );
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document.write( "Use the rule of logs on that last expression that says \r\n" );
document.write( "the log of the base of the log is always equal to 1:\r\n" );
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document.write( "\"2log%28d%2Ca%29=3log%28d%2Cb%29=5log%28d%2Cc%29=6%281%29\"\r\n" );
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document.write( "\"2log%28d%2Ca%29=3log%28d%2Cb%29=5log%28d%2Cc%29=6\"\r\n" );
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document.write( "Set each of the 3 expressions = 6 and solve for the logs:\r\n" );
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document.write( " \"2log%28d%2Ca%29=6\"\r\n" );
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document.write( "Divide both sides by 2\r\n" );
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document.write( " \"log%28d%2Ca%29=3\"\r\n" );
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document.write( "--------------------\r\n" );
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document.write( " \"3log%28d%2Cb%29=6\"\r\n" );
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document.write( "Divide both sides by 3\r\n" );
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document.write( " \"log%28d%2Cb%29=2\"\r\n" );
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document.write( "--------------------\r\n" );
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document.write( " \"5log%28d%2Cc%29=6\"\r\n" );
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document.write( "Divide both sides by 5\r\n" );
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document.write( " \"log%28d%2Cc%29=6%2F5\"\r\n" );
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document.write( "--------------------\r\n" );
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document.write( "Use the rule of logs that says the log of a product \r\n" );
document.write( "equals the sum of the logs of the factors: \r\n" );
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document.write( "Edwin
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