document.write( "Question 135665: Hi,
\n" );
document.write( " Can you help me with this math problem?\r
\n" );
document.write( "\n" );
document.write( "17.) Solve the equation. Give an exact solution.
\n" );
document.write( "1n(3x-1)=1n 1 -1n (x-1) \r
\n" );
document.write( "\n" );
document.write( "The answer should be 4/3 \n" );
document.write( "
Algebra.Com's Answer #99396 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 1n(3x-1)=1n 1 -1n (x-1) \n" ); document.write( "ln(3x-1) = 0 -ln(x-1) \n" ); document.write( "ln[(3x-1)(x-1)] = 0 \n" ); document.write( "3x^2-4x+1 = 1 \n" ); document.write( "3x^2-4x = 0 \n" ); document.write( "x(3x-4)=0 \n" ); document.write( "x = 0 or 4/3 \n" ); document.write( "-------------- \n" ); document.write( "But x cannot be 0 for that would give us ln(0-1) = ln(-1), which is meaningless. \n" ); document.write( "----------------- \n" ); document.write( "So the only solution is x = 4/3 \n" ); document.write( "================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |