document.write( "Question 164711: solve the indicial equation -- 5^x = 3^(x+1) \n" ); document.write( "
Algebra.Com's Answer #121437 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
solve the indicial equation --
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document.write( "\"5%5Ex+=+3%5E%28x%2B1%29\"\r\n" );
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document.write( "Take the natural log of both sides:\r\n" );
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document.write( "\"ln%285%5Ex%29+=+ln%283%5E%28x%2B1%29%29\"\r\n" );
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document.write( "\"x%2Aln%285%29+=+%28x%2B1%29ln%283%29\"\r\n" );
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document.write( "To make solving easier,\r\n" );
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document.write( "let \"A+=+ln%285%29\" and  \"B+=+ln%283%29\"\r\n" );
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document.write( "\"x%2AA+=+%28x%2B1%29B\"\r\n" );
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document.write( "\"Ax+=+B%28x%2B1%29\"\r\n" );
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document.write( "\"Ax+=+Bx%2BB\"\r\n" );
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document.write( "\"Ax-Bx=B\"\r\n" );
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document.write( "\"x%28A-B%29=B\"\r\n" );
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document.write( "\"x=B%2F%28A-B%29\"\r\n" );
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document.write( "Now replace \"A\" by \"ln%285%29\" and \"B\" by \"ln%283%29\"\r\n" );
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document.write( "\"++x=ln%283%29%2F%28ln%285%29-ln%283%29%29+++\" \r\n" );
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document.write( "\"x=1.098612289%2F%281.609437912-1.098612289%29\"\r\n" );
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document.write( "\"x=1.098612289%2F%28.5108256238%29\"\r\n" );
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document.write( "\"x=2.150660103\"\r\n" );
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document.write( "Edwin
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