document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=955429>Question 955429</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If log a^2 b^3 = x and log (a/b) = y, what are the values of log a and log b? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #583659 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=583659\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+log%28+a%5E2%2Ab%5E3+%29+ ALIGN=MIDDLE  ALT=\"+x+=+log%28+a%5E2%2Ab%5E3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+log%28+a%2Fb+%29+ ALIGN=MIDDLE  ALT=\"+y+=+log%28+a%2Fb+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+log%28+a%5E2+%29+%2B+log%28+b%5E3+%29+ ALIGN=MIDDLE  ALT=\"+x+=+log%28+a%5E2+%29+%2B+log%28+b%5E3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+2%2Alog%28a%29+%2B+3%2Alog%28b%29+ ALIGN=MIDDLE  ALT=\"+x+=+2%2Alog%28a%29+%2B+3%2Alog%28b%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+log%28a%29+-+log%28b%29+ ALIGN=MIDDLE  ALT=\"+y+=+log%28a%29+-+log%28b%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Multiply both sides of (2) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+ ALIGN=MIDDLE  ALT=\"+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and add the equations<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+2%2Alog%28a%29+%2B+3%2Alog%28b%29+ ALIGN=MIDDLE  ALT=\"+x+=+2%2Alog%28a%29+%2B+3%2Alog%28b%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3y+=+3%2Alog%28a%29+-+3%2Alog%28b%29+ ALIGN=MIDDLE  ALT=\"+3y+=+3%2Alog%28a%29+-+3%2Alog%28b%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+3y+=+5%2Alog%28a%29+ ALIGN=MIDDLE  ALT=\"+x+%2B+3y+=+5%2Alog%28a%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%28a%29+=+%28+x+%2B+3y+%29+%2F+5+ ALIGN=MIDDLE  ALT=\"+log%28a%29+=+%28+x+%2B+3y+%29+%2F+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+log%28a%29+-+log%28b%29+ ALIGN=MIDDLE  ALT=\"+y+=+log%28a%29+-+log%28b%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+%28+x+%2B+3y+%29+%2F+5+-+log%28b%29+ ALIGN=MIDDLE  ALT=\"+y+=+%28+x+%2B+3y+%29+%2F+5+-+log%28b%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28b%29+=+%28+x+%2B+3y+%29+%2F+5+-+y+ ALIGN=MIDDLE  ALT=\"+log%28b%29+=+%28+x+%2B+3y+%29+%2F+5+-+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28b%29+=+x%2F5+%2B+%283y%29%2F5+-+%285%2Ay%29%2F5+ ALIGN=MIDDLE  ALT=\"+log%28b%29+=+x%2F5+%2B+%283y%29%2F5+-+%285%2Ay%29%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28b%29+=+x%2F5+-+%282y%29%2F5+ ALIGN=MIDDLE  ALT=\"+log%28b%29+=+x%2F5+-+%282y%29%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28a%29+=+%28+x+%2B+3y+%29+%2F+5+ ALIGN=MIDDLE  ALT=\"+log%28a%29+=+%28+x+%2B+3y+%29+%2F+5+\"   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%29+=+%28+x+-+2y+%29+%2F+5+ ALIGN=MIDDLE  ALT=\"+log%28b%29+=+%28+x+-+2y+%29+%2F+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" > answers<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+10+ ALIGN=MIDDLE  ALT=\"+a+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+100+ ALIGN=MIDDLE  ALT=\"+b+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+log%28+a%5E2%2Ab%5E3+%29+ ALIGN=MIDDLE  ALT=\"+x+=+log%28+a%5E2%2Ab%5E3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+log%28+10%5E2%2A100%5E3+%29+ ALIGN=MIDDLE  ALT=\"+x+=+log%28+10%5E2%2A100%5E3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+log%28+10%5E8+%29+ ALIGN=MIDDLE  ALT=\"+x+=+log%28+10%5E8+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+8+ ALIGN=MIDDLE  ALT=\"+x+=+8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+log%28+a%2Fb+%29+ ALIGN=MIDDLE  ALT=\"+y+=+log%28+a%2Fb+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+log%28+10%2F100+%29+ ALIGN=MIDDLE  ALT=\"+y+=+log%28+10%2F100+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+log%28+10%5E%28-1%29+%29+ ALIGN=MIDDLE  ALT=\"+y+=+log%28+10%5E%28-1%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+-1+ ALIGN=MIDDLE  ALT=\"+y+=+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28a%29+=+%28+x+%2B+3y+%29+%2F+5+ ALIGN=MIDDLE  ALT=\"+log%28a%29+=+%28+x+%2B+3y+%29+%2F+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%2810%29+=+%28+8+-+3+%29+%2F+5+ ALIGN=MIDDLE  ALT=\"+log%2810%29+=+%28+8+-+3+%29+%2F+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%2810%29+=+5%2F5+ ALIGN=MIDDLE  ALT=\"+log%2810%29+=+5%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1+=+1+ ALIGN=MIDDLE  ALT=\"+1+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28b%29+=+%28+x+-+2y+%29+%2F+5+ ALIGN=MIDDLE  ALT=\"+log%28b%29+=+%28+x+-+2y+%29+%2F+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28100%29+=+%28+8+-+2%2A%28-1%29+%29+%2F+5+ ALIGN=MIDDLE  ALT=\"+log%28100%29+=+%28+8+-+2%2A%28-1%29+%29+%2F+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+%28+8%2B2+%29+%2F+5+ ALIGN=MIDDLE  ALT=\"+2+=+%28+8%2B2+%29+%2F+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+10%2F5+ ALIGN=MIDDLE  ALT=\"+2+=+10%2F5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+2+ ALIGN=MIDDLE  ALT=\"+2+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );