document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=46500>Question 46500</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please show me how to  evaluate this without using a calculator?\r<BR>\n" );
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document.write( "log5 20 . log20 60. log60 100 . log100 125.\r<BR>\n" );
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document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43969 by </B><A HREF=/tutors/aboutme.mpl?userid=joyofmath><B>joyofmath(189)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=joyofmath><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=43969\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <b>Please show me how to  evaluate this without using a calculator?\r<BR>\n" );
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document.write( "log5 20 . log20 60. log60 100 . log100 125.\r<BR>\n" );
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document.write( "Thanks!</b>\r<BR>\n" );
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document.write( "In general, log[a]b * log[b]c = log[a]c\r<BR>\n" );
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document.write( "So, log[5]20 * log[20]60 = log[5]60<BR>\n" );
document.write( "Then, log[5]60 * log[60]100 = log[5]100<BR>\n" );
document.write( "And, log[5]100 * log[100]125 = log[5]125\r<BR>\n" );
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document.write( "Finally, log[5]125 is the number you have to raise 5 to in order to get 125. That number is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%283%29 ALIGN=MIDDLE  ALT=\"highlight%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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