document.write( "Question 1149552: find the domain of the following equation and solve them
\n" ); document.write( "log(9,x)+2log(3,x)=5 \n" ); document.write( "
Algebra.Com's Answer #770882 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "\r\n" );
document.write( "The equation is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    \"log%289%2C%28x%29%29\" + \"2log%283%2C%28x%29%29\" = 5\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The domain is  x > 0.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Next,  \"log%289%2C%28x%29%29\" = \"%281%2F2%29%2Alog%283%2C%28x%29%29\".   Therefore, equation (1) takes the form\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    \"%281%2F2%29%2Alog%283%2C%28x%29%29\" + \"2log%283%2C%28x%29%29\" = 5\r\n" );
document.write( "\r\n" );
document.write( "    \"%285%2F2%29%2Alog%283%2C%28x%29%29\" = 5\r\n" );
document.write( "\r\n" );
document.write( "    \"%281%2F2%29%2Alog%283%2C%28x%29%29\" = 1\r\n" );
document.write( "\r\n" );
document.write( "    \"log%283%2C%28x%29%29\" = 2\r\n" );
document.write( "\r\n" );
document.write( "    x = \"3%5E2\" = 9.       ANSWER\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "----------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "On logarithms,  their properties and solving logarithmic equations  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( "    - Evaluate logarithms without using a calculator \r
\n" ); document.write( "\n" ); document.write( "    - Simplifying expressions with logarithms \r
\n" ); document.write( "\n" ); document.write( "    - Solving logarithmic equations \r
\n" ); document.write( "\n" ); document.write( "    - Proving equalities with logarithms \r
\n" ); document.write( "\n" ); document.write( "    - Using logarithms to solve real world problems \r
\n" ); document.write( "\n" ); document.write( "    - Solving problem on Newton Law of cooling \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\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
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Logarithms\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\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
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );