document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105687>Question 1105687</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am confused about how to solve this problem??\r<BR>\n" );
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document.write( "If loga=1/3logX-3logv, what is the value of a?\r<BR>\n" );
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document.write( "I think I am to assume the base for a is 10? I am unclear as to what X and V are so that I can find the value of a? My daughter is doing online high school and I am trying to help her with her algebra II. The guide with her online school is not helpful.<BR>\n" );
document.write( "Thank you!<BR>\n" );
document.write( "Terri Dougan<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #720563 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=720563\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Thanks for taking the time to try to help your daughter....<br><BR>\n" );
document.write( "x and v are variables; you won't get a numerical answer to the problem; you will get an answer involving x and v.<br><BR>\n" );
document.write( "When a problem involving logarithms does not specify the base, it is assumed that the base is 10.  However, in this problem we are working with variables instead of numbers; so the base is irrelevant -- the problem could be in any base.<br><BR>\n" );
document.write( "A logarithm is an exponent, so the laws for dealing with logarithms are essentially the same as the laws for dealing with exponents.  Specifically,<br><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28a%2Ab%29%29+=+log%28%28a%29%29%2Blog%28%28b%29%29 ALIGN=MIDDLE  ALT=\"log%28%28a%2Ab%29%29+=+log%28%28a%29%29%2Blog%28%28b%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=log%28%28a%2Fb%29%29+=+log%28%28a%29%29-log%28%28b%29%29 ALIGN=MIDDLE  ALT=\"log%28%28a%2Fb%29%29+=+log%28%28a%29%29-log%28%28b%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28a%5Eb%29%29+=+b%2Alog%28%28a%29%29 ALIGN=MIDDLE  ALT=\"log%28%28a%5Eb%29%29+=+b%2Alog%28%28a%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "I believe the expression you are given is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29log%28%28x%29%29+-+3log%28%28v%29%29 ALIGN=MIDDLE  ALT=\"%281%2F3%29log%28%28x%29%29+-+3log%28%28v%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Using the basic laws of logarithms...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29log%28%28x%29%29+=+log%28%28x%5E%281%2F3%29%29%29 ALIGN=MIDDLE  ALT=\"%281%2F3%29log%28%28x%29%29+=+log%28%28x%5E%281%2F3%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  [rule (3)]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3log%28%28v%29%29+=+log%28%28v%5E3%29%29 ALIGN=MIDDLE  ALT=\"3log%28%28v%29%29+=+log%28%28v%5E3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  [rule (3)]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29log%28%28x%29%29+-+3log%28%28v%29%29+=+log%28%28x%5E%281%2F3%29%29%29+-+log%28%28v%5E3%29%29+=+log%28%28x%5E%281%2F3%29%2Fv%5E3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br>  [rule (2)]<BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+x%5E%281%2F3%29%2Fv%5E3 ALIGN=MIDDLE  ALT=\"a+=+x%5E%281%2F3%29%2Fv%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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