document.write( "Question 1008787: For what value(s) of k does the equation x^1/logx=k have a solution? \n" ); document.write( "
Algebra.Com's Answer #624428 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "x cannot be 1 since the denominator of the exponent\r\n" );
document.write( "would be 0.\r\n" );
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document.write( "Take logs of both sides:\r\n" );
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document.write( "Use a rule of logs to write the exponent as a coefficient\r\n" );
document.write( "of a log:\r\n" );
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document.write( "\"matrix%282%2C3%2C%0D%0A%22%22%2C%22%22%2C%22%22%2C%0D%0A%0D%0A10%2C%22%22=%22%22%2Ck%29\"\r\n" );
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document.write( "Substitute for k in\r\n" );
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document.write( "This will be true for every allowable value of x\r\n" );
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document.write( "Thus the equation\r\n" );
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document.write( "has a solution for every positive value of x except 1\r\n" );
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document.write( "That is, for all x ∈ {x|0 < x < 1 or x > 1}\r\n" );
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document.write( " (0,1) U (1, ∞)\r\n" );
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document.write( "Edwin
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