document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167593>Question 167593</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can  you please help me.<BR>\n" );
document.write( "Evaluate: (log5 20^4)(log20 5^4)<BR>\n" );
document.write( "I have to show my work.<BR>\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123501 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=123501\">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%285%2C%2820%5E4%29%29log%2820%2C%285%5E4%29%29 ALIGN=MIDDLE  ALT=\"log%285%2C%2820%5E4%29%29log%2820%2C%285%5E4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28log%2810%2C%2820%5E4%29%29%29%2F%28log%2810%2C%285%29%29%29%29%28%28log%2810%2C%285%5E4%29%29%29%2F%28log%2810%2C%2820%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Convert each log using the change of base formula\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So for instance <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2C%2820%5E4%29%29=log%2810%2C%2820%5E4%29%29%2Flog%2810%2C%285%29%29 ALIGN=MIDDLE  ALT=\"log%285%2C%2820%5E4%29%29=log%2810%2C%2820%5E4%29%29%2Flog%2810%2C%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2820%2C%285%5E4%29%29=log%2810%2C%285%5E4%29%29%2Flog%2810%2C%2820%29%29 ALIGN=MIDDLE  ALT=\"log%2820%2C%285%5E4%29%29=log%2810%2C%285%5E4%29%29%2Flog%2810%2C%2820%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%284%2Alog%2810%2C%2820%29%29%29%2F%28log%2810%2C%285%29%29%29%29%28%284%2Alog%2810%2C%285%29%29%29%2F%28log%2810%2C%2820%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Use the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to pull the exponents down and place them in front of the logs\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%284%2Ahighlight%28log%2810%2C%2820%29%29%29%29%2F%28highlight%28log%2810%2C%285%29%29%29%29%29%28%284%2Ahighlight%28log%2810%2C%285%29%29%29%29%2F%28highlight%28log%2810%2C%2820%29%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Highlight the common terms.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%284%2Across%28log%2810%2C%2820%29%29%29%29%2F%28cross%28log%2810%2C%285%29%29%29%29%29%28%284%2Across%28log%2810%2C%285%29%29%29%29%2F%28cross%28log%2810%2C%2820%29%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out the common terms.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2F1%29%2A%284%2F1%29 ALIGN=MIDDLE  ALT=\"%284%2F1%29%2A%284%2F1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A4 ALIGN=MIDDLE  ALT=\"4%2A4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16 ALIGN=MIDDLE  ALT=\"16\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2C%2820%5E4%29%29log%2820%2C%285%5E4%29%29=16 ALIGN=MIDDLE  ALT=\"log%285%2C%2820%5E4%29%29log%2820%2C%285%5E4%29%29=16\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );