document.write( "Question 1209372: Solve for all integer solutions of x and y.
\n" ); document.write( "3^x + 3^y = 108 \n" ); document.write( "
Algebra.Com's Answer #848697 by mccravyedwin(408)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Trial and error may not be obvious to you, so you\r\n" );
document.write( "might try doing a little algebra to make it easier\r\n" );
document.write( "to see what to do.  \r\n" );
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document.write( "Divide both sides by 33 by subtracting\r\n" );
document.write( "3 from both exponents of 3 on the left:\r\n" );
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document.write( "Factor out 3x-3 on the left:\r\n" );
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document.write( "That reminds us a little of \"1%2A%281%2B3%29\"\"%22%22=%22%22\"\"4\".\r\n" );
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document.write( "That would be the case if the power of 3 before the parentheses \r\n" );
document.write( "were equal to 1, and the power of 3 inside the parentheses were\r\n" );
document.write( "31.  \r\n" );
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document.write( "Now we know that 30 = 1.  And we see that x = 3 would make that\r\n" );
document.write( "exponent = 0.\r\n" );
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document.write( "So now all we need to do is find y so that y-x = 1.  Substituting \r\n" );
document.write( "x = 3,  y - 3 = 1, or y = 4.\r\n" );
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document.write( "So  x = 3 and y = 4 are the answers.  Checking:\r\n" );
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document.write( "Edwin
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