document.write( "Question 4895: log (6x + 5) - log 3 = log 2 - log x
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #2421 by rapaljer(4671)\"\" \"About 
You can put this solution on YOUR website!
\"+log%28%286x%2B5%29%2F3%29=log+%282%2Fx%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If log M = log N, then M = N, so
\n" ); document.write( "\"+%286x%2B5%29%2F3+=+2%2Fx\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Multiply both sides by the common denominator which is 3x:
\n" ); document.write( "\"%283x%29%2A%286x%2B5%29+%2F3+=+%283x%29%2A2%2Fx+\"
\n" ); document.write( "\"x%2A%286x%2B5%29++=+3%2A2+\"\r
\n" ); document.write( "\n" ); document.write( "\"6x%5E2+%2B+5x+=+6\"\r
\n" ); document.write( "\n" ); document.write( "\"6x%5E2+%2B+5x+-+6+=+0\"\r
\n" ); document.write( "\n" ); document.write( "\"+%283x+-+2%29%282x+%2B+3%29+=+0\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+2%2F3+\" \"x+=+-3%2F2\"\r
\n" ); document.write( "\n" ); document.write( "The second solution is not allowed since the log of negative is not allowed in the real number system.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Final answer: \"x=2%2F3\"\r
\n" ); document.write( "\n" ); document.write( "R^2 at SCC
\n" ); document.write( "
\n" ); document.write( "
\n" );