document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=330258>Question 330258</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use common logarithms to approximate log9 207 to four decimal places.<BR>\n" );
document.write( "a. 0.4120<BR>\n" );
document.write( "b. 1.3617<BR>\n" );
document.write( "c. 3.2702<BR>\n" );
document.write( "d. 2.4270 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #236708 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=236708\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Use the base conversion formula:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \log_9\left(207\right)\ =\ \frac{\log\left(207\right)}{\log\left(9\right)}\">\r<BR>\n" );
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document.write( "I'll leave you alone to spend some quality time with your calculator.\r<BR>\n" );
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document.write( "But seeing that the whole number part of the 4 answers is different for each answer, you can do this one in your head.\r<BR>\n" );
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document.write( "Since we know that:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ \log_b(x) \ \ \Rightarrow\ \ b^y = x\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ \log_9\left(207\right) \ \ \Rightarrow\ \  9^y\ =\ 207\">\r<BR>\n" );
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document.write( "Well, we know that <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 9^0\ =\ 1\"> (too small), <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 9^1\ =\ 9\"> (too small), <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 9^2\ =\ 81\"> (maybe), and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 9^3\ =\ 729\"> (too large).  It has to be the one with 2 as a whole number part, i.e. answer d. \r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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