document.write( "Question 1153078: 2^(x+1)+2^x=3^(y+2)-3^y where x and y are elements of integers. Find x \n" ); document.write( "
Algebra.Com's Answer #775246 by ikleyn(52797)\"\" \"About 
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document.write( "Simplify the given equality step by step\r\n" );
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document.write( "    \"2%5Ex%2A%282%2B1%29\" = \"3%5Ey%2A3%5E2-3%5Ey\",\r\n" );
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document.write( "    \"2%5Ex%2A3\" = \"3%5Ey%2A%289-1%29\"\r\n" );
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document.write( "    \"2%5Ex%2A3\" = \"8%2A3%5Ey\".\r\n" );
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document.write( "With integer x and y, taking into account uniqueness of factorization of integers into a product of prime numbers,\r\n" );
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document.write( "it implies  x= 3  and  y= 1.    ANSWER\r\n" );
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