are there any 2 different numbers that when switched with exponents are the same?
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document.write( "You are asking:\r\n" );
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document.write( "Are there any cases where 
when A and B are\r\n" );
document.write( "different numbers?\r\n" );
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document.write( "The first one that comes to mind is \r\n" );
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document.write( "because both sides equal 16.\r\n" );
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document.write( "Another case (using fractions) is \r\n" );
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document.write( "We prove that by proving that their logs are equal:\r\n" );
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document.write( "log of the left side\r\n" );
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document.write( "log of the right side\r\n" );
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document.write( "So \r\n" );
document.write( "because the log of the left side equals the log of the right side.\r\n" );
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document.write( "Other solutions are:\r\n" );
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document.write( "You can generalize this to:\r\n" );
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and 
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document.write( "then \r\n" );
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document.write( "This can be proved the same way, by showing that the logs of the\r\n" );
document.write( "left and right sides are equal.\r\n" );
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document.write( "In fact the first solution mentioned above\r\n" );
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document.write( "is the case of this when n=1\r\n" );
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document.write( "Edwin
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