document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=303232>Question 303232</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need help with this prob please show work so i know what to do\r<BR>\n" );
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document.write( "log 2x^2= (log 2x)^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #217342 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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/cgi-bin/show-face.mpl?user=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=217342\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%282x%5E2%29%29=%28log%28%282x%29%29%29%5E2 ALIGN=MIDDLE  ALT=\"log%28%282x%5E2%29%29=%28log%28%282x%29%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I used Newton's method to find the roots of <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=log%28%282x%5E2%29%29-%28log%28%282x%29%29%29%5E2 ALIGN=MIDDLE  ALT=\"f%28x%29=log%28%282x%5E2%29%29-%28log%28%282x%29%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=df%2Fdx=2%2Fx-%282%2Alog%282x%29%29%2Fx ALIGN=MIDDLE  ALT=\"df%2Fdx=2%2Fx-%282%2Alog%282x%29%29%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and I started with a value of x=0.2.<BR>\n" );
document.write( "A quick check in EXCEL showed that the zero was between x=0.7 and x=0.8. <BR>\n" );
document.write( "After 20 iterations, I got<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0.7292 ALIGN=MIDDLE  ALT=\"x=0.7292\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Quick check to verify,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%282%280.7292%29%5E2%29%29=log%28%282%280.7292%29%29%29%5E2 ALIGN=MIDDLE  ALT=\"log%28%282%280.7292%29%5E2%29%29=log%28%282%280.7292%29%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%282%280.7292%29%5E2%29%29=log%28%282%280.7292%29%29%29%5E2 ALIGN=MIDDLE  ALT=\"log%28%282%280.7292%29%5E2%29%29=log%28%282%280.7292%29%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%281.0634%29=%28log%281.4584%29%29%5E2 ALIGN=MIDDLE  ALT=\"log%281.0634%29=%28log%281.4584%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.026697=%28.16387%29%5E2 ALIGN=MIDDLE  ALT=\"0.026697=%28.16387%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.026697=0.026856 ALIGN=MIDDLE  ALT=\"0.026697=0.026856\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );