document.write( "Question 1088005: Solve the following equation
\n" ); document.write( "A) 9 log 5 base x = log x base 5\r
\n" ); document.write( "\n" ); document.write( "B) log x/2 base 8 = log x base 2 \n" ); document.write( "
Algebra.Com's Answer #702384 by ikleyn(52790)\"\" \"About 
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\n" ); document.write( "Solve the following equation
\n" ); document.write( "A) 9 log 5 base x = log x base 5
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document.write( "\"9%2Alog%285%2C%28x%29%29\" = \"log%28x%2C%285%29%29\".   (1)\r\n" );
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document.write( "There is the basic property of logarithms  \"log%28a%2C%28b+%29%29\" = \"1%2Flog%28b%2C%28a%29%29\".\r\n" );
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document.write( "Apply it, and your equation  (1) becomes\r\n" );
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document.write( "\"9%2Alog%285%2C%28x%29%29\" = \"1%2Flog%285%2C%28x%29%29\"  ====>\r\n" );
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document.write( "\"%28log%285%2C%28x%29%29%29%5E2\" = \"1%2F9\"  ====>\r\n" );
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document.write( "\"log%285%2C%28x%29%29\" = \"sqrt%281%2F9%29\"  ====>\r\n" );
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document.write( "====  There are actually TWO solutions:\r\n" );
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document.write( "1)  log(5,(x))}}} = \"1%2F3\"  ====>  x = \"root%283%2C5%29\",     and\r\n" );
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document.write( "2)  log(5,(x))}}} = \"-1%2F3\"  ====>  x = \"1%2Froot%283%2C5%29\".\r\n" );
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document.write( "Answer.  There are TWO solutions:  x = \"root%283%2C5%29\"  and  x = \"1%2Froot%283%2C5%29\".\r\n" );
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\n" ); document.write( "\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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