document.write( "Question 968226: 4^x=8x. find x \n" ); document.write( "
Algebra.Com's Answer #591704 by Edwin McCravy(20063)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"4%5Ex\"\"%22%22=%22%22\"\"8x\"\r\n" );
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document.write( "There is no algebraic way to solve an equation when the unknown\r\n" );
document.write( "appears both as part of an exponent and elsewhere in the same\r\n" );
document.write( "equation as not part of an exponent.\r\n" );
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document.write( "However by inspection of the left side, the powers of 4 are \r\n" );
document.write( "4,16,64, etc. Also by inspection of the right side, the multiples\r\n" );
document.write( "of 8 are 8,16,24, etc., so we notice that x=2 is a solution.\r\n" );
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document.write( "But there is another solution, which can be approximated with a\r\n" );
document.write( "graphing calculator or by iterative methods, x = 0.1549534662,\r\n" );
document.write( "correct to ten decimal places.\r\n" );
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document.write( "Edwin
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