document.write( "Question 1053688: How many real solutions does this equation have?
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Algebra.Com's Answer #668903 by ikleyn(52910)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "Answer. There are no real solutions.\r
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document.write( "1.  In the left side  \"log%28x%2C+2014%29\" = \"1%2Flog%282014%2Cx%29\"  (use the formula of the base change for logarithm; see the reference below).\r\n" );
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document.write( "2.  In the right side\r\n" );
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document.write( "    \"log%28root%282014%2C+2014%29%2C+root%282014%2C+x%29%29\" = \"2014%2Alog%282014%2C+root%282014%2C+x%29%29\" = \"%282014%2F2014%29%2Alog%282014%2Cx%29\" = \"log%282014%2Cx%29\".\r\n" );
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document.write( "3.  Therefore, the given equation takes the form \r\n" );
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document.write( "    \"log%282014%2C+x%29\" - \"1%2Flog%282014%2Cx%29\" = \"log%282014%2Cx%29\".\r\n" );
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document.write( "    It implies that  -\"1%2Flog%282014%2Cx%29\" = 0, which has no real solutions.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On properties of logarithms, see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - WHAT IS the logarithm \r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Logarithms\".\r
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