document.write( "Question 1110675: Topic solving logarithmic \r
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Algebra.Com's Answer #725684 by ikleyn(52814) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( " The solution by @josgarithmetic is W R O N G.\r
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\n" ); document.write( "\n" ); document.write( " Below find the correct solution.\r
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document.write( " =     ====>\r\n" );
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document.write( " =   <=== is equivalent ====>\r\n" );
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document.write( " =   <=== is equivalent ====>\r\n" );
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document.write( "10x^2 - x - 2 = 9x^2\r\n" );
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document.write( "x^2 - x - 2 = 0\r\n" );
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document.write( "(x-2)*(x+1) = 0\r\n" );
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document.write( "The roots to the last equation are  x= 2  and  x= -1.\r\n" );
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document.write( "The value  x= -1  does not work as the solution to the original equation,\r\n" );
document.write( "since    is not defined.\r\n" );
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document.write( "The value  x= 2  is the solution:  both the left side and the right side of the original equation are DEFINED at x= 2.\r\n" );
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document.write( "Answer.  The given equation has one and only one solution x= 2.\r\n" );
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document.write( "Check.  The left side is   =  =  = .\r\n" );
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document.write( "        The right side is  the same value.\r\n" );
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\n" ); document.write( "On logarithms and their properties, see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - WHAT IS the logarithm \r
\n" ); document.write( "\n" ); document.write( "    - Properties of the logarithm \r
\n" ); document.write( "\n" ); document.write( "    - Change of Base Formula for logarithms \r
\n" ); document.write( "\n" ); document.write( "    - Solving logarithmic equations \r
\n" ); document.write( "\n" ); document.write( "    - Using logarithms to solve real world problems \r
\n" ); document.write( "\n" ); document.write( "in this site.\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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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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