document.write( "Question 535345: Hello everyone! I need help with logarithmic functions please! This is a hard topic for me and could use all the help I can.
\n" );
document.write( "
\n" );
document.write( "Find the domain of the logarithmic function..\r
\n" );
document.write( "\n" );
document.write( "f(x)= log(x^2-17x+72) \n" );
document.write( "
Algebra.Com's Answer #351860 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Find the domain of the logarithmic function.. \n" ); document.write( "f(x)= log(x^2-17x+72) \n" ); document.write( "---- \n" ); document.write( "x^2-17x+72 must be > 0 \n" ); document.write( "(x-9)(x-8) > 0 \n" ); document.write( "--- \n" ); document.write( "Draw a number line and plot x=8 and x=9 \n" ); document.write( "--- \n" ); document.write( "Look for solutions in the intervals: \n" ); document.write( "Try x = 0: -*- > 0 ; true, so solutions in (-oo,8) \n" ); document.write( "Try x = 8.5: -*+ > 0 ; false \n" ); document.write( "Try x = 9.5: +*+ > 0 ; true, so solutions in (9,+oo) \n" ); document.write( "------------ \n" ); document.write( "Domain: (-oo,8)U(9,+oo) \n" ); document.write( "============================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "================ \n" ); document.write( " |