document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1045915>Question 1045915</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If x=log15 2, y= log10 3, z=log6 5; prove that xy + yz + zx + 2xyz = 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #661503 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=661503\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+log%2815%2C2%29+=+log%2815%2C30%29+-+log%2815%2C15%29+=+log%2815%2C30%29+-+1 ALIGN=MIDDLE  ALT=\"x+=+log%2815%2C2%29+=+log%2815%2C30%29+-+log%2815%2C15%29+=+log%2815%2C30%29+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Similarly, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+log%2810%2C3%29+=+log%2810%2C30%29+-+log%2810%2C10%29+=+log%2810%2C30%29+-+1 ALIGN=MIDDLE  ALT=\"y+=+log%2810%2C3%29+=+log%2810%2C30%29+-+log%2810%2C10%29+=+log%2810%2C30%29+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+log%286%2C5%29+=+log%286%2C30%29+-+log%286%2C6%29+=+log%286%2C30%29+-+1 ALIGN=MIDDLE  ALT=\"z+=+log%286%2C5%29+=+log%286%2C30%29+-+log%286%2C6%29+=+log%286%2C30%29+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy%2Byz%2Bzx+=+%28log%2815%2C30%29+-+1%29%28+log%2810%2C30%29+-+1%29%2B%28+log%2810%2C30%29+-+1%29%28log%286%2C30%29+-+1%29%2B%28log%286%2C30%29+-+1%29%28log%2815%2C30%29+-+1%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2log%2810%2C30%29-2log%2815%2C30%29-2log%286%2C30%29%2Blog%2815%2C30%29%2Alog%2810%2C30%29%2Blog%2810%2C30%29%2Alog%286%2C30%29%2Blog%286%2C30%29%2Alog%2815%2C30%29+%2B+3 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Also, \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2xyz+=+2%28log%2815%2C30%29+-+1%29%28+log%2810%2C30%29+-+1%29%28log%286%2C30%29+-+1%29 ALIGN=MIDDLE  ALT=\"2xyz+=+2%28log%2815%2C30%29+-+1%29%28+log%2810%2C30%29+-+1%29%28log%286%2C30%29+-+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2log%2815%2C30%29%2Alog%2810%2C30%29%2Alog%286%2C30%29+-+2log%2815%2C30%29%2Alog%286%2C30%29-2log%2810%2C30%29%2Alog%286%2C30%29%2B2log%286%2C30%29+-+2log%2815%2C30%29%2Alog%2810%2C30%29%2B2log%2815%2C30%29%2B2log%2810%2C30%29+-+2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "===> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=xy%2Byz%2Bzx%2B2xyz+=+2log%2815%2C30%29%2Alog%2810%2C30%29%2Alog%286%2C30%29+-+log%2815%2C30%29%2Alog%286%2C30%29+-+log%2810%2C30%29%2Alog%286%2C30%29+-+log%2815%2C30%29%2Alog%2810%2C30%29+%2B1 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%28log%2830%2C15%29%2Alog%2830%2C10%29%2Alog%2830%2C6%29%29+-+log%2830%2C15%29%2F%28log%2830%2C15%29%2Alog%2830%2C10%29%2Alog%2830%2C6%29%29+-+log%2830%2C10%29%2F%28log%2830%2C15%29%2Alog%2830%2C10%29%2Alog%2830%2C6%29%29+-+log%2830%2C6%29%2F%28log%2830%2C15%29%2Alog%2830%2C10%29%2Alog%2830%2C6%29%29+%2B+1 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F+%28log%2830%2C15%29%2Alog%2830%2C10%29%2Alog%2830%2C6%29%29+%29%282-log%2830%2C15%29+-+log%2830%2C10%29+-+log%283%2C6%29%29+%2B1 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F+%28log%2830%2C15%29%2Alog%2830%2C10%29%2Alog%2830%2C6%29%29+%29%282-log%2830%2C900%29%29+%2B1 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F+%28log%2830%2C15%29%2Alog%2830%2C10%29%2Alog%2830%2C6%29%29+%29%282-2%29+%2B1+=+highlight%281%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );