document.write( "Question 1112467: What is \"x\" in the equation \"log%281%2F2%2C1%2F9%29=log%282%2Cx%29%5E2\"? \n" ); document.write( "
Algebra.Com's Answer #727496 by ikleyn(52875)\"\" \"About 
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document.write( "Let me transform the left side step by step\r\n" );
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document.write( "\"log%28%281%2F2%29%2C%281%2F9%29%29\" = \"-log%28%281%2F2%29%2C%289%29%29\" = \"log%282%2C%289%29%29\".\r\n" );
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document.write( "So, the original equation is equivalent to\r\n" );
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document.write( "\"log%282%2C%289%29%29\" = \"log%282%2C%28x%5E2%29%29\".\r\n" );
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document.write( "Which implies  9 = \"x%5E2\".\r\n" );
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document.write( "Which, in turn, implies  x = +/- 3.\r\n" );
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document.write( "Answer.  x = +/- 3.\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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