document.write( "Question 162960: The following questions are driving me crazy, please help!!!!!\r
\n" ); document.write( "\n" ); document.write( "1) Express as a single logarithm with a coefficient of 1. 2 In x -5 In y
\n" ); document.write( "2) Writh the logarithm in expanded form. log3(x^2y)3\r
\n" ); document.write( "\n" ); document.write( "The question donot come from a text book. My course is online and are questions posted by instructor.\r
\n" ); document.write( "\n" ); document.write( "I would be very appreciative if someone could help me solve these problems. I did not began to solve because I donot understand what is being asked. \n" ); document.write( "
Algebra.Com's Answer #120091 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Your ability to solve these problems relies on your knowing the rules of logarithms!
\n" ); document.write( "\"Product rule\" \"Log%5Bb%5DM+%2B+Log%5Bb%5DN+=+Log%5Bb%5D%28M%2AN%29\"
\n" ); document.write( "\"Quotient rule\" \"Log%5Bb%5DM+-+Log%5Bb%5DN+=+Log%5Bb%5D%28M%2FN%29\"
\n" ); document.write( "\"Power rule\" \"p%2ALog%5Bb%5DM+=+Log%5Bb%5DM%5Ep\"
\n" ); document.write( "Now let's apply these to your problems:
\n" ); document.write( "1) \"2%2Aln%28x%29+-+5%2Aln%28y%29\" First apply the \"power rule\" to get:
\n" ); document.write( "\"ln%28x%5E2%29+-+ln%28y%5E5%29\" Now apply the \"quotient tule\" to get:
\n" ); document.write( "\"highlight%28ln%28x%5E2%2Fy%5E5%29%29\"
\n" ); document.write( "2) \"Log%5B3%5D%28x%5E2y%29%5E3\" Rewrite this by expanding the argument of the logarithm \"%28x%5E2y%29%5E3+=+%28x%5E6%2Ay%5E3%29\"
\n" ); document.write( "\"Log%5B3%5D%28x%5E6%2Ay%5E3%29\" Now apply the \"Product rule\" to get:
\n" ); document.write( "\"Log%5B3%5D%28x%5E6%29+%2B+Log%5B3%5D%28y%5E3%29\" Now you can apply the \"Power rule\" to get:
\n" ); document.write( "\"highlight%286%2ALog%5B3%5D%28x%29+%2B+3%2ALog%5B3%5D%28y%29%29\"
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