document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1177521>Question 1177521</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If log_8 3 = P and log_3 5 = Q, express log_{10} 5 in terms of P and Q. Your answer should no longer include any logarithms. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #806616 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=806616\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Given:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%288%2C3%29=P ALIGN=MIDDLE  ALT=\"log%288%2C3%29=P\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283%2C5%29=Q ALIGN=MIDDLE  ALT=\"log%283%2C5%29=Q\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Given those bases and arguments, it is almost certain that we will be working the problem using base 3 logarithms.  So<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283%2C8%29+=+1%2FP ALIGN=MIDDLE  ALT=\"log%283%2C8%29+=+1%2FP\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Then<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C5%29+=+log%283%2C5%29%2Flog%283%2C10%29+=+log%283%2C5%29%2F%28log%283%2C5%29%2Blog%283%2C2%29%29+=+Q%2F%28Q%2Blog%283%2C2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283%2C8%29+=+1%2FP ALIGN=MIDDLE  ALT=\"log%283%2C8%29+=+1%2FP\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283%2C2%5E3%29+=+1%2FP ALIGN=MIDDLE  ALT=\"log%283%2C2%5E3%29+=+1%2FP\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Alog%283%2C2%29+=+1%2FP ALIGN=MIDDLE  ALT=\"3%2Alog%283%2C2%29+=+1%2FP\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%283%2C2%29+=+1%2F%283P%29 ALIGN=MIDDLE  ALT=\"log%283%2C2%29+=+1%2F%283P%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "And finally<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C5%29+=+Q%2F%28Q%2B1%2F%283P%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C5%29+=+Q%2F%28Q%2B1%2F%283P%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Simplify/change format if required....<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );