document.write( "Question 458375: I need help solving these problems.\r
\n" ); document.write( "\n" ); document.write( "\"+2log%283%2Cx%29-log%283%2Cx-4%29=%282%29%2Blog%283%2C2%29\"\r
\n" ); document.write( "\n" ); document.write( "and\r
\n" ); document.write( "\n" ); document.write( "\"%281%2F2%29log+%284x%2B5%29=+log+x\"
\n" ); document.write( "

Algebra.Com's Answer #314453 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
2log3(x)-log3(x-4)=2+log3(2)
\n" ); document.write( "(1/2)log (4x+5)= log x
\n" ); document.write( "..
\n" ); document.write( "2log3(x)-log3(x-4)=2+log3(2)
\n" ); document.write( "2log3(x)-log3(x-4)-log3(2)=2
\n" ); document.write( "2log3(x)-(log3(x-4)+log3(2))=2
\n" ); document.write( "place under single log
\n" ); document.write( "log3[x^2/(x-4)(2)]=2
\n" ); document.write( "convert to exponential form (base(3) raised to log of number(2)=number[x^2/(x-4)(2)]
\n" ); document.write( "3^2=x^2/(x-4)(2)=9
\n" ); document.write( "x^2/(2x-8)=9
\n" ); document.write( "x^2=18x-72
\n" ); document.write( "x^2-18x+72=0
\n" ); document.write( "(x-9)(x-8)=0
\n" ); document.write( "x=9
\n" ); document.write( "or
\n" ); document.write( "x=8
\n" ); document.write( "...
\n" ); document.write( "(1/2)log (4x+5)= log x
\n" ); document.write( "(1/2)log (4x+5)- log x=0
\n" ); document.write( "log[(4x+5)^1/2/x]=0
\n" ); document.write( "10^0=(4x+5)^1/2/x=1
\n" ); document.write( "(4x+5)^1/2=x
\n" ); document.write( "square both sides
\n" ); document.write( "4x+5=x^2
\n" ); document.write( "x^2-4x-5=0
\n" ); document.write( "(x-5)(x+1)=0
\n" ); document.write( "x=5
\n" ); document.write( "or
\n" ); document.write( "x=-1 (reject, ( x>0)
\n" ); document.write( "
\n" );