document.write( "Question 229449: Can you solve ln(x-4) + ln(x+1) = ln (x-8) \n" ); document.write( "
Algebra.Com's Answer #170109 by stanbon(75887) ![]() You can put this solution on YOUR website! solve ln(x-4) + ln(x+1) = ln (x-8) \n" ); document.write( "--------------- \n" ); document.write( "ln[(x-4)(x+1)] = ln(x-8) \n" ); document.write( "--- \n" ); document.write( "x^2-3x-4 = x-8 \n" ); document.write( "x^2-4x+4 = 0 \n" ); document.write( "(x-2)^2 = 0 \n" ); document.write( "x = 2 \n" ); document.write( "--- \n" ); document.write( "But x cannot be 2 for ln(x-4) would be the natural log of a negative, \n" ); document.write( "which does not exist. \n" ); document.write( "----------------------- \n" ); document.write( "Conclusion: No solution \n" ); document.write( "----------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |