document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209839>Question 1209839</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let P = \log_8 3 and Q = \log_3 5.  Express \log_{15} 72 in terms of P and Q.  Your answer should no longer include any logarithms.<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 #850773 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</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=850773\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Given:<br><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( "To find:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2815%2C72%29 ALIGN=MIDDLE  ALT=\"log%2815%2C72%29\"   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%2815%2C72%29=log%28b%2C72%29%2Flog%28b%2C15%29 ALIGN=MIDDLE  ALT=\"log%2815%2C72%29=log%28b%2C72%29%2Flog%28b%2C15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C72%29=log%28b%2C8%29%2Blog%28b%2C9%29 ALIGN=MIDDLE  ALT=\"log%28b%2C72%29=log%28b%2C8%29%2Blog%28b%2C9%29\"   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%28b%2C15%29=log%28b%2C3%29%2Blog%28b%2C5%29 ALIGN=MIDDLE  ALT=\"log%28b%2C15%29=log%28b%2C3%29%2Blog%28b%2C5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2815%2C72%29=%28log%28b%2C8%29%2Blog%28b%2C9%29%29%2F%28log%28b%2C3%29%2Blog%28b%2C5%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "With the given information, we want to use base 3 logarithms.<br><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;\" > --> <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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2815%2C72%29=%28log%283%2C8%29%2Blog%283%2C9%29%29%2F%28log%283%2C3%29%2Blog%283%2C5%29%29=%28%281%2FP%29%2B2%29%2F%281%2BQ%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The result can be written in many different forms....<br><BR>\n" );
document.write( "ANSWER: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281%2FP%29%2B2%29%2F%281%2BQ%29 ALIGN=MIDDLE  ALT=\"%28%281%2FP%29%2B2%29%2F%281%2BQ%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );