document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202165>Question 1202165</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the appropriate base of each logarithm<BR>\n" );
document.write( "log base b (1/15)=-1.9<BR>\n" );
document.write( "log base b 80=3.9<BR>\n" );
document.write( "log base b 6=0.9<BR>\n" );
document.write( "log base b 66=3.1<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #836800 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=836800\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the appropriate base of each logarithm<BR>\n" );
document.write( "log base b (1/15)=-1.9<BR>\n" );
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document.write( "---> b^-1.9 = 1/15<BR>\n" );
document.write( "Solve for b<BR>\n" );
document.write( "Using ln, natural logs, base e:<BR>\n" );
document.write( "-1.9*ln(b) = ln(1/15) <BR>\n" );
document.write( "ln(b) = ln(1/15)/(-1.9)<BR>\n" );
document.write( "ln(b) = -2.708/(-1.9) = ~1.4252<BR>\n" );
document.write( "b = e^(1.4252)<BR>\n" );
document.write( "b =~ 4.159<BR>\n" );
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document.write( "log base b 80=3.9<BR>\n" );
document.write( "---<BR>\n" );
document.write( "b^3.9 = 80<BR>\n" );
document.write( "Using common logs, base 10:<BR>\n" );
document.write( "3.9*log(b) = log(80)<BR>\n" );
document.write( "log(b) = log(80)/3.9 = ~0.48797<BR>\n" );
document.write( "b = 10^(0.48797) = ~3.0759<BR>\n" );
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document.write( "\n" );
document.write( "log base b 6=0.9<BR>\n" );
document.write( "log base b 66=3.1<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );