document.write( "Question 698692: how do you condense: ln x - 2 ln (x^2 + 1) + 1/2 ln (3 - x^4) \n" ); document.write( "
Algebra.Com's Answer #430967 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Here it is in a little more detail\r\n" );
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document.write( "\"matrix%282%2C1%2C%22%22%2Cln%28x%29%29\"\"matrix%282%2C1%2C%22%22%2C%22%22-%22%22%29\"\"matrix%282%2C1%2C%22%22%2C2%2Aln%28x%5E2%2B1%29%29\"\"matrix%282%2C1%2C%22%22%2C%22%22%2B%22%22%29\"\"matrix%282%2C1%2C%22%22%2Cexpr%281%2F2%29ln%283-x%5E4%29%29\"\r\n" );
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document.write( "Make the coefficients become exponents:\r\n" );
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document.write( "\"matrix%282%2C1%2C%22%22%2Cln%28x%29%29\"\"matrix%282%2C1%2C%22%22%2C%22%22-%22%22%29\"\"matrix%282%2C1%2C%22%22%2Cln%28x%5E2%2B1%29%5E2%29\"\"matrix%282%2C1%2C%22%22%2C%22%22%2B%22%22%29\"\"matrix%282%2C1%2C%22%22%2Cln%283-x%5E4%29%5E%281%2F2%29%29\"\r\n" );
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document.write( "Write the first two terms (the difference of two natural logs) as\r\n" );
document.write( "the natural log of their quotient:\r\n" );
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document.write( "\"matrix%282%2C1%2C%22%22%2Cln%28x%2F%28x%5E2%2B1%29%5E2%29%29\"\"matrix%282%2C1%2C%22%22%2C%22%22%2B%22%22%29\"\"matrix%282%2C1%2C%22%22%2Cln%283-x%5E4%29%5E%281%2F2%29%29\"\r\n" );
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document.write( "Write those two terms (the sum of two natural logs) as\r\n" );
document.write( "the natural log of their product:\r\n" );
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document.write( "Change the \"1%2F2\" exponent to a square root\r\n" );
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document.write( "\"matrix%282%2C1%2C%22%22%2Cln%28%28x%2F%28x%5E2%2B1%29%5E2%29+sqrt%283-x%5E4%29++%29%29\"\r\n" );
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document.write( "and put the square root in the numerator multiplied by the x\r\n" );
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document.write( "\"matrix%282%2C1%2C%22%22%2Cln%28+++%28x%2Asqrt%283-x%5E4%29%29%2F%28x%5E2%2B1%29%5E2%29++%29\"\r\n" );
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document.write( "Edwin
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