document.write( "Question 166958: how do I solve log(5x-1)=2+log(x-2) \n" ); document.write( "

Algebra.Com's Answer #122973 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
log(5x-1)=2+log(x-2)
\n" ); document.write( "log(5x-1) - log(x-2) = 2
\n" ); document.write( "log[(5x-1)/(x-2)] = 2
\n" ); document.write( "(5x-1)/(x-2) = 10^2
\n" ); document.write( "(5x-1)/(x-2) = 100
\n" ); document.write( "(5x-1) = 100(x-2)
\n" ); document.write( "5x-1 = 100x-200
\n" ); document.write( "199 = 95x
\n" ); document.write( "199/95 = x
\n" ); document.write( "2.0526 = x\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );