document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=443318>Question 443318</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose f(x)=A ln(x)+B, where A and B are constants. If f(1)=10 and f(e)=1. what are A and B? What are key algebraic concepts needed to solve the problem? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #305788 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=305788\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose f(x)=A ln(x)+B, where A and B are constants. If f(1)=10 and f(e)=1. what are A and B? What are key algebraic concepts needed to solve the problem?<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "f(x)=A ln(x)+B<BR>\n" );
document.write( "f(1) = 10<BR>\n" );
document.write( "f(1) = A*ln(1)+B = A*0+B = B<BR>\n" );
document.write( "So, B = 10<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "f(e) = 1<BR>\n" );
document.write( "f(e) = A*ln(e)+B<BR>\n" );
document.write( "f(e) = A*1+B<BR>\n" );
document.write( "f(e) = A+B<BR>\n" );
document.write( "---<BR>\n" );
document.write( "So, A+B = 1<BR>\n" );
document.write( "But B = 10,<BR>\n" );
document.write( "so A = -9<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );