document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=497909>Question 497909</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, this is review in my Calculus book... Solve: log(base x) (2x-3)=2 for x.<BR>\n" );
document.write( "I tried doing this:<BR>\n" );
document.write( "2x-3=x^2<BR>\n" );
document.write( "x^2-2x+3=0<BR>\n" );
document.write( "(x-3)(x+1)=0<BR>\n" );
document.write( "So x = 3 and x = 1.<BR>\n" );
document.write( "But then I thought it might be False since if you put 3 and 1 into the first eqation that it wouldn't come out to 2. <BR>\n" );
document.write( "Thanks for helping </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #337168 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=337168\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve: log(base x) (2x-3)=2 for x<BR>\n" );
document.write( "Base(x) raised to log of number(2)=number(2x-3)<BR>\n" );
document.write( "2x-3=x^2<BR>\n" );
document.write( "x^2-2x+3=0<BR>\n" );
document.write( "(x-3)(x+1)=0<BR>\n" );
document.write( "So x = 3 and x = 1<BR>\n" );
document.write( "**<BR>\n" );
document.write( "You got the basic log quadratic equation correct, but you goofed up on its solution.<BR>\n" );
document.write( "a=1, b=-2, c=3<BR>\n" );
document.write( "The discriminant, &#8730;(b^2-4ac)=&#8730;(4-4*1*3)=&#8730;(4-12)=&#8730;-8<BR>\n" );
document.write( "There is no solution, because x is not a real number<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Good Luck on your calculus class! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );