document.write( "Question 745532: log(7-x)-log(3x+2)=1 \n" ); document.write( "

Algebra.Com's Answer #453887 by savvyhush23(50) $\"\"$ $\"About$

You can put this solution on YOUR website!
log(7-x)=1+log(3x+2) note: log(10)=1
\n" ); document.write( "log(7-x)=log(10)+log(3x+2)
\n" ); document.write( "log(7-x)=log[10(3x+2)] eliminate log
\n" ); document.write( "7-x=30x+20
\n" ); document.write( " $\"x=-13%2F31\"$ \r
\n" ); document.write( "\n" ); document.write( "check:
\n" ); document.write( " $\"log%28%287-%28-13%2F31%29%29%29=0.870366\"$
\n" ); document.write( " $\"log%28%283%28-13%2F31%29%2B2%29%29=-0.129633\"$
\n" ); document.write( " $\"0.870366-%28-0.129633%29=1\"$ \n" ); document.write( "

\n" );