document.write( "Question 1204575: If log(3,x) = 8, evaluate the following.\r
\n" ); document.write( "\n" ); document.write( "log(3,9x)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I was given the answer 10 but I don't know the reasoning. \n" ); document.write( "
Algebra.Com's Answer #853475 by ikleyn(53561)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "If log(3,x) = 8, evaluate the following.
\n" ); document.write( "log(3,9x)\r
\n" ); document.write( "\n" ); document.write( "I was given the answer 10 but I don't know the reasoning.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            The most simple reasoning is  THIS :\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "    \"log%283%2C%289x%29%29\" = \"log%283%2C%289%29%29\" + \"log%283%2C%28x%29%29\" = 2 + 8 = 10.    ANSWER\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "On the way, I used two facts:  \r\n" );
document.write( "\r\n" );
document.write( "        \"log%283%2C%289%29%29\" = \"log%283%2C%283%5E2%29%29\" = \"2%2Alog%283%2C%283%29%29\" = 2*1 = 2,\r\n" );
document.write( "\r\n" );
document.write( "    and\r\n" );
document.write( "\r\n" );
document.write( "        \"log%283%2C%28x%29%29\" = 8  (given).\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "This solution shown in my post is what the problem and the teacher do expect from you.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Comparing with the solution by @mananth, the advantage of this solution is
\n" ); document.write( "that I do not make no one excessive calculation and use the most straightforward economic way.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In whole, this my composition is \"the most elegant and the most expected/desired way to solve\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );