document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=261542>Question 261542</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation: log(base 3)100= -2\r<BR>\n" );
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document.write( "I tried to do -2(root)100, but I'm not sure if I did it right. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #192694 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=192694\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> here is the original problem:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283%2C100%29=+-2 ALIGN=MIDDLE  ALT=\"log%283%2C100%29=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the challenge I have here is that there is no variable. If we rewrote as exponents, we would get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%28-2%29+=+100 ALIGN=MIDDLE  ALT=\"3%5E%28-2%29+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is not true.<BR>\n" );
document.write( "If however, the 3 were a b, then we would have the following:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C100%29=+-2 ALIGN=MIDDLE  ALT=\"log%28b%2C100%29=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and now using exponents, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E%28-2%29+=+100 ALIGN=MIDDLE  ALT=\"b%5E%28-2%29+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "rewrite the 100 as a power, we get<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E%28-2%29+=+10%5E2 ALIGN=MIDDLE  ALT=\"b%5E%28-2%29+=+10%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+1%2F10%29 ALIGN=MIDDLE  ALT=\"b+=+1%2F10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );