document.write( "Question 694069: log(x-3)+log(x) = 2 + log(x+2) *The base for the logarithms is 2. I just need help clarifying my answer, I found that this problem had no solution but I'm not completely sure if that is correct \n" ); document.write( "
Algebra.Com's Answer #427724 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
log(x-3)+log(x) = 2 + log(x+2)
\n" ); document.write( "---------------------------
\n" ); document.write( "log[(x-3)x] - log(x+2) = 2
\n" ); document.write( "-----
\n" ); document.write( "log[(x^2-3x)/(x+2)] = 2
\n" ); document.write( "----
\n" ); document.write( "(x^2-3x)/(x+2) = 2^2
\n" ); document.write( "-------
\n" ); document.write( "x^2-3x = 4x+8
\n" ); document.write( "x^2 - 7x - 8 = 0
\n" ); document.write( "Factor:
\n" ); document.write( "(x-8)(x+1) = 0
\n" ); document.write( "Positive 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" );