document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=78304>Question 78304</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that you have a formula to measure the loudness of sounds on a logarithmic scale.  You do not know what base to use for your logarithms, but you have determined by experiment that log(b)2=3.4 and log(b)3=5.4.  Use this information and the properties of logarithms to calculate log(b)24.\r<BR>\n" );
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document.write( "thank in advance </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56138 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=56138\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> but you have determined by experiment that log(b)2=3.4 and log(b)3=5.4.  Use this information and the properties of logarithms to calculate log(b)24.<BR>\n" );
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document.write( "24=2^3*3<BR>\n" );
document.write( "log(b)24 = log(b)[2^3*3] <BR>\n" );
document.write( "=3log(b)2 +log(b)3<BR>\n" );
document.write( "=3(3.4) + 5.4<BR>\n" );
document.write( "=15.6<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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