document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=474483>Question 474483</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a scientific calculator the base for a lagarithm equation is 10 by default. How to change the base? Please explain elaborately. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #325652 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=325652\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I don't know if this requires an elaborate explanation (however it could get deep into proving the change-of-base formula then deriving the Taylor series for logarithms, then proving Taylor's theorem in the first place, etc.).\r<BR>\n" );
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document.write( "Simply put, if you want to convert from base b to base 10 (so you can input it on your calculator), use the change-of-base formula:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \log_b x = \frac{\log_{10} x}{\log_{10} b}\">\r<BR>\n" );
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document.write( "Then it is easy to input it on a calculator.\r<BR>\n" );
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document.write( "Also, most graphing calculators can allow logarithms of bases other than 10 or e. They are quite expensive, though, but graphing calculators can do all sorts of functions such as sums/products, derivatives/integrals, limits, determinants of matrices, factorials, defining your own functions, etc. </SPAN>\n" );
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