document.write( "Question 638062: Can you please help me evaluate 5^log1/5(1/2)\r
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Algebra.Com's Answer #852485 by ikleyn(52946)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Let  \"log%281%2F5%2C%281%2F2%29%29\" = x. \r\n" );
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document.write( "It means that  \"%281%2F5%29%5Ex\" = \"1%2F2\".\r\n" );
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document.write( "This last equation is equivalent to  \"5%5Ex\" = 2.\r\n" );
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document.write( "It means that  x = \"log%285%2C%282%29%29\".\r\n" );
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document.write( "Thus  \"5%5Elog%281%2F5%2C%281%2F2%29%29\" = \"5%5Elog%285%2C2%29\".\r\n" );
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document.write( "But  \"5%5Elog%285%2C2%29\"  is  2, due to the definition of the logarithm.\r\n" );
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document.write( "ANSWER.  \"5%5Elog%281%2F5%2C%281%2F2%29%29\" = 2.\r\n" );
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document.write( "At this point, the problem is solved completely.\r\n" );
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document.write( "We evaluated  \"5%5Elog%281%2F5%2C%281%2F2%29%29\"  and found out that the value is 2.\r\n" );
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\n" ); document.write( "\n" ); document.write( "This my solution is to replace the solution by tutor @Theo.\r
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