document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=459265>Question 459265</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use log(4, 7)=1.4037 and log(4, 3)= 0.7925 to evaluate each expression\r<BR>\n" );
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document.write( "log(4, 9)\r<BR>\n" );
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document.write( "log(4, 7/12) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #314969 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=314969\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> use log(4, 7)=1.4037 and log(4, 3)= 0.7925 to evaluate each expression <BR>\n" );
document.write( "log(4, 9) <BR>\n" );
document.write( "we can rewrite the 9 as 3^2<BR>\n" );
document.write( "log(4, 3^2)<BR>\n" );
document.write( "2*log(4, 3)<BR>\n" );
document.write( "now we can perform the substitution:<BR>\n" );
document.write( "2*0.7925<BR>\n" );
document.write( "1.585<BR>\n" );
document.write( "  <BR>\n" );
document.write( ".\r<BR>\n" );
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document.write( "log(4, 7/12)<BR>\n" );
document.write( "we rewrite as:<BR>\n" );
document.write( "log(4, 7) - log(4,12)<BR>\n" );
document.write( "log(4, 7) - [log(4,4*3)]<BR>\n" );
document.write( "log(4, 7) - [log(4,4) + log(4,3)]<BR>\n" );
document.write( "log(4, 7) - [log(4,4) + log(4,3)]<BR>\n" );
document.write( "1.4037 - [1 + 0.7925]<BR>\n" );
document.write( "1.4037 - 1.7925<BR>\n" );
document.write( "-0.3888\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );