document.write( "Question 317476: Solve the following equation. Show all work.\r
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Algebra.Com's Answer #227363 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"2%5E%285x%29%2A16%5E%281-x%29=4%5E%28x-3%29\"\r\n" );
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document.write( "Write 16 as \"%282%5E4%29\" and write 4 as \"%282%5E2%29\"\r\n" );
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document.write( "\"2%5E%285x%29%2A%282%5E4%29%5E%281-x%29=%282%5E2%29%5E%28x-3%29\"\r\n" );
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document.write( "Remove the parentheses by multiplying the inner exponents by\r\n" );
document.write( "the outer exponents:\r\n" );
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document.write( "\"2%5E%285x%29%2A2%5E%284%2A%281-x%29%29=2%5E%282%2A%28x-3%29%29\"\r\n" );
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document.write( "Distribute in the exponents:\r\n" );
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document.write( "\"2%5E%285x%29%2A2%5E%284-4x%29=2%5E%282x-6%29\"\r\n" );
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document.write( "Add the exponents of 2 on the left:\r\n" );
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document.write( "\"2%5E%285x%2B4-4x%29=2%5E%282x-6%29\"\r\n" );
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document.write( "\"2%5E%28x%2B4%29=2%5E%282x-6%29\"\r\n" );
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document.write( "The bases are the same and are positive and not 1, so\r\n" );
document.write( "we may set the exponent of 2 on the left equal the exponent\r\n" );
document.write( "of 2 on the right:\r\n" );
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document.write( "\"x%2B4=2x-6\"\r\n" );
document.write( "\"10=x\"\r\n" );
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document.write( "Edwin
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