document.write( "Question 1018108: Hello could you please help me simplify: log little3 3/4+ log little3 4/5+ log little3 5/6+ log little3 6/7+ log little3 7/8+ log little3 8/9 / log 4/5+ log 5/6+ log 6/7+ log 7/8+ log 8/9+ log 9/10 \n" ); document.write( "
Algebra.Com's Answer #634279 by ikleyn(52790)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "Hello could you please help me simplify: log little3 3/4+ log little3 4/5+ log little3 5/6+ log little3 6/7+ log little3 7/8+ log little3 8/9 / log 4/5+ log 5/6+ log 6/7+ log 7/8+ log 8/9+ log 9/10
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document.write( "\"log%283%2C%283%2F4%29%29\" + \"log%283%2C%284%2F5%29%29\" = \"log%283%2C+%28%283%2F4%29%2A%284%2F5%29%29%29\" = \"log%283%2C%283%2F5%29%29\" = \"log%283%2C3%29\" - \"log%283%2C5%29\" = \"1-log%283%2C5%29\".\r\n" );
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document.write( "\"log%283%2C%283%2F4%29%29\" + \"log%283%2C%284%2F5%29%29\" + \"log%283%2C%285%2F6%29%29\" = \"log%283%2C+%28%283%2F4%29%2A%284%2F5%29%2A%285%2F6%29%29%29\" = \"log%283%2C%283%2F6%29%29\" = \"log%283%2C3%29\" - \"log%283%2C6%29\" = \"1-log%283%2C6%29\".\r\n" );
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document.write( "Did you just catch the idea? You have the long product of fractions under the logarithm, and you can cancel \r\n" );
document.write( "all the numerators and all the denominators except the very first and very last.\r\n" );
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document.write( ". . . . . . . .\r\n" );
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document.write( "\"log%283%2C%283%2F4%29%29\" + \"log%283%2C%284%2F5%29%29\" + \"log%283%2C%285%2F6%29%29\" + . . . + \"log%283%2C%289%2F10%29%29\" = \"log%283%2C+%28%283%2F4%29%2A%284%2F5%29%2A%285%2F6%29%2A+ellipsis+%2A%289%2F10%29%29%29\" = \"log%283%2C%283%2F10%29%29\" = \"log%283%2C3%29\" - \"log%283%2C10%29\" = \"1-log%283%2C10%29\".\r\n" );
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