document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=763213>Question 763213</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write the following expression as a single logarithm: log x/ log 7- log y. I got the answer log x/ 7y. but I searched the internet and they said that the answer was log 7x/ y. so which is the right answer and how did you get that?\r<BR>\n" );
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document.write( "thanks,<BR>\n" );
document.write( "Nick </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #464694 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39629)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=464694\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Recheck your book to review these rules about logarithms:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28log%28a%2Ab%29=log%28%28a%29%29%2Blog%28%28b%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28log%28a%2Ab%29=log%28%28a%29%29%2Blog%28%28b%29%29%29\"   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=highlight%28log%28a%2Fb%29=log%28%28a%29%29-log%28%28b%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28log%28a%2Fb%29=log%28%28a%29%29-log%28%28b%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "TRUST those rules.  Your given expression, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28x%29%2Flog%287%29-log%28y%29 ALIGN=MIDDLE  ALT=\"log%28x%29%2Flog%287%29-log%28y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which seems to be according to how you showed it, the ratio of logarithms MINUS another logarithm.  I believe you cannot condense that into a single logarithm.  \r<BR>\n" );
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document.write( "You may try this way:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28x%29%2Flog%287%29+-%28log%28y%29%29%28log%287%29%2Flog%287%29%29=%28log%28x%29-log%287%29log%287%29%29%2Flog%287%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > but this does not help.\r<BR>\n" );
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document.write( "Again, as said, you showed ratio of two logs minus another log.  No rule for that.  Are you SURE that your original expression was as you wrote? </SPAN>\n" );
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