document.write( "Question 929414: solve the logarithmic equation.
\n" ); document.write( "In(4x-3)=In 3-In(x-1)
\n" ); document.write( "

Algebra.Com's Answer #564280 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
In(4x-3)=In 3-In(x-1)
\n" ); document.write( "----------
\n" ); document.write( "Not In, ln, for natural log.
\n" ); document.write( "Subtracting logs --> division
\n" ); document.write( "\"ln%284x-3%29+=+ln%283%2F%28x-1%29%29\"
\n" ); document.write( "4x-3 = 3/(x-1)
\n" ); document.write( "\"4x%5E2+-+7x+%2B+3+=+3\"
\n" ); document.write( "\"4x%5E2+-+7x+=+0\"
\n" ); document.write( "x = 0, but gives log of a negative number, reject.
\n" ); document.write( "----
\n" ); document.write( "x = 7/4
\n" ); document.write( "Check:
\n" ); document.write( "ln(7 - 3) = ln(3) - ln(3/4)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );