document.write( "Question 657944: how can i find the value of y?
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Algebra.Com's Answer #410080 by Edwin McCravy(20086)\"\" \"About 
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document.write( "\"4%5E%282y%29\" +\"+4%5E%282y-1%29\" = \"4\"\r\n" );
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document.write( "We use the principle that \"A%5E%28B%2BC%29=A%5EB%2AA%5EC\" on the second term:\r\n" );
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document.write( "\"4%5E%282y%29\" + \"+4%5E%282y%294%5E%28-1%29\" = \"4\"\r\n" );
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document.write( "We change the \"4%5E%28-1%29\" to \"1%2F4\"\r\n" );
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document.write( "\"4%5E%282y%29\" +\"+4%5E%282y%29%2Aexpr%281%2F4%29\" = \"4\"\r\n" );
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document.write( "Multiply through by 4 to remove the fraction:\r\n" );
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document.write( "\"4%2A%22%22\"\"4%5E%282y%29\" + \"4%2A%22%22\"\"+4%5E%282y%29%2Aexpr%281%2F4%29\" = \"4%2A%22%22\"\"4\"\r\n" );
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document.write( "\"4%2A%22%22\"\"4%5E%282y%29\" + \"cross%284%29%2A%22%22\"\"+4%5E%282y%29%2Aexpr%281%2Fcross%284%29%29\" = \"4%2A%22%22\"\"4\"\r\n" );
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document.write( "\"4%2A%22%22\"\"4%5E%282y%29\" + \"+4%5E%282y%29\" = \"16\"\r\n" );
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document.write( "The two terms on the left are like terms and combine as\r\n" );
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document.write( "\"5%2A%22%22\"\"4%5E%282y%29\" = \"16\"\r\n" );
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document.write( "Then we divide both sides by 5\r\n" );
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document.write( "\"4%5E%282y%29\" = \"16%2F5\"\r\n" );
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document.write( "Now we take logs of both sides\r\n" );
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document.write( "\"log%28%284%5E%282y%29%29%29\" = \"log%28%2816%2F5%29%29\"\r\n" );
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document.write( "We use the principle \"log%28%28A%5EB%29%29+=+B%2Alog%28%28A%29%29\"\r\n" );
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document.write( "\"2y%2Alog%28%284%29%29\" = \"log%28%2816%2F5%29%29\"\r\n" );
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document.write( "Divide both sides by \"2%2Alog%28%284%29%29\"\r\n" );
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document.write( "\"y\" = \"log%28%2816%2F5%29%29%2F%282log%28%284%29%29%29\" = 0.4195179763\r\n" );
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document.write( "Edwin
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