document.write( "Question 319938: Please help me solve this equation: 4^xsquared/4^2x=64 \n" ); document.write( "
Algebra.Com's Answer #229135 by Edwin McCravy(20056)\"\" \"About 
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document.write( "Subtract exponents of 4 on the left:\r\n" );
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document.write( "\"drawing%28100%2C130%2C-1%2C1%2C-1%2C.5%2C+locate%28-1%2C0%2C+4%5E%28x%5E2-2x%29=64%29+++%29\"\r\n" );
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document.write( "Since 4*4*4 = 64 write 64 as \"4%5E3\"\r\n" );
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document.write( "equate the exponents of 4 on each side:\r\n" );
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document.write( "\"x%5E2-2x=3\"\r\n" );
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document.write( "\"x%5E2-2x-3=0\"\r\n" );
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document.write( "\"%28x-3%29%28x%2B1%29=0\"\r\n" );
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document.write( "Two solutions 3 and -1\r\n" );
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document.write( "Checking x=3\r\n" );
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document.write( "\"drawing%28100%2C130%2C-1%2C1%2C-1%2C.5%2C+locate%28-1%2C0%2C+4%5E9%2F4%5E6=64%29+%29++\"\r\n" );
document.write( "\"4%5E3=64\"\r\n" );
document.write( "\"64=64\"\r\n" );
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document.write( "Checking x=-1\r\n" );
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document.write( "\"4%5E%281-%28-2%29%29=64%29+%29++\"\r\n" );
document.write( "\"4%5E%281%2B2%29=64\"\r\n" );
document.write( "\"4%5E3=64\"\r\n" );
document.write( "\"64=64\"\r\n" );
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document.write( "So both solutions check.\r\n" );
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document.write( "Edwin
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