Algebra.Com's Answer #648977 by ikleyn(52782)![\"\"](\"/images/stars/stars-13.gif\")  
You can put this solution on YOUR website!
.
\n" );
document.write( "Please help me solve this question\r
\n" );
document.write( "\n" );
document.write( "Solve the system; logx base a.log ( xyz ) base a = 48,
\n" );
document.write( " Logy base a.log ( xyz ) base a = 12,
\n" );
document.write( " Logz base a.log ( xyz ) base a = 84,
\n" );
document.write( "a > 0, a is not = to 1
\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "\r\n" );
document.write( " =  , (1)\r\n" );
document.write( " =  , (2)\r\n" );
document.write( " =  . (3)\r\n" );
document.write( "\r\n" );
document.write( "Add (1), (2) and (3) (both sides). You will get\r\n" );
document.write( "\r\n" );
document.write( " = 48 + 12 + 84 = 144.\r\n" );
document.write( "\r\n" );
document.write( "Hence,  = +/- 12.\r\n" );
document.write( "\r\n" );
document.write( "Now, consider two cases.\r\n" );
document.write( "\r\n" );
document.write( "a) = + 12.\r\n" );
document.write( "\r\n" );
document.write( " Then  =  = 4 ---> x =  ,\r\n" );
document.write( "  =  = 1 ---> y =  ,\r\n" );
document.write( "  =  = 7 ---> z =  .\r\n" );
document.write( "\r\n" );
document.write( "b) = - 12.\r\n" );
document.write( "\r\n" );
document.write( " Then =  = -4 ---> x =  ,\r\n" );
document.write( " =  = -1 ---> y =  ,\r\n" );
document.write( " =  = -7 ---> z =  .\r\n" );
document.write( "\r\n" );
document.write( "Thus you have two solutions (or two sets of solutions).\r\n" );
document.write( "
\n" );
document.write( " \n" );
document.write( " |