document.write( "Question 139884: sample final questions:\r
\n" ); document.write( "\n" ); document.write( "write as a single logarithm expression: have no clue how to start:
\n" ); document.write( "(#1) -2logbase3(1/x)+1/3logbase3(squa rt OF x)\r
\n" ); document.write( "\n" ); document.write( "(#2) 2log2-3logx-1/2[log(x+3)log(x-2)]\r
\n" ); document.write( "\n" ); document.write( "express as sum & difference of logarithms, express powers as factors:\r
\n" ); document.write( "\n" ); document.write( "(#3) ln(x^3sqrtx^2+1 /x-3)
\n" ); document.write( "solve each equation:\r
\n" ); document.write( "\n" ); document.write( "(#4) log(7x+8)=2logx\r
\n" ); document.write( "\n" ); document.write( "THANK YOU AND GOD BLESS....THIS IS HELPING ME STUDY WITH THE CORRECT METHOD AND ANSWER.....I TRULY APPRECIATE ALL YOUR HELP AS ALWAYS!!!!
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #101969 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
(#1) -2logbase3(1/x)+1/3logbase3(squa rt OF x) \r
\n" ); document.write( "\n" ); document.write( "= -2log3 (x^-1) + (1/3)log3 x^(1/2)\r
\n" ); document.write( "\n" ); document.write( "= (-1)(-2)log3 x + (1/2)(1/3)log3 x\r
\n" ); document.write( "\n" ); document.write( "= 2log3 x + (1/6) log3 x\r
\n" ); document.write( "\n" ); document.write( "= (13/6)log3 x\r
\n" ); document.write( "\n" ); document.write( "-------------------------------------\r
\n" ); document.write( "\n" ); document.write( "(#2) 2log2-3logx-1/2[log(x+3)log(x-2)] \r
\n" ); document.write( "\n" ); document.write( "= 2log2 - logx -(1/2)[log(x+3)log(x-2)]\r
\n" ); document.write( "\n" ); document.write( "= log(4/x) -(1/2)log(x+3)*log(x-2)\r
\n" ); document.write( "\n" ); document.write( "---------------------------------------\r
\n" ); document.write( "\n" ); document.write( "express as sum & difference of logarithms, express powers as factors:
\n" ); document.write( "(#3) ln(x^3sqrt[(x^2+1)/(x-3)]\r
\n" ); document.write( "\n" ); document.write( "= 3lnx + (1/2)ln[(x^2+1)/(x-3)]\r
\n" ); document.write( "\n" ); document.write( "-----------------------------------------\r
\n" ); document.write( "\n" ); document.write( "solve each equation:
\n" ); document.write( "(#4) log(7x+8)=2logx \r
\n" ); document.write( "\n" ); document.write( "log(7x+8) = log x^2\r
\n" ); document.write( "\n" ); document.write( "7x+8 = x^2
\n" ); document.write( "x^2-7x-8 = 0
\n" ); document.write( "(x-8)(x+1) = 0
\n" ); document.write( "Potitive solution:
\n" ); document.write( "x = 8
\n" ); document.write( "=============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" ); document.write( "
\n" );