document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=189805>Question 189805</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what will be the value of log 0.3 to the base 9?\r<BR>\n" );
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document.write( "the correct answer is -1/2. <BR>\n" );
document.write( "However i am not able to figure out the method </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #142403 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=142403\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Are you sure that the 0.3 isn't 0.3333 (where the 3's repeat)? If the 3's repeat, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3=0.3333 ALIGN=MIDDLE  ALT=\"1%2F3=0.3333\"   DISABLED_style= \"max-width:90%; height:auto;\" > (where the 3's repeat)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%289%2C%280.3333%29%29 ALIGN=MIDDLE  ALT=\"log%289%2C%280.3333%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%289%2C%281%2F3%29%29 ALIGN=MIDDLE  ALT=\"log%289%2C%281%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.3333 ALIGN=MIDDLE  ALT=\"0.3333\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   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=y=log%289%2C%281%2F3%29%29 ALIGN=MIDDLE  ALT=\"y=log%289%2C%281%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Set the expression equal to \"y\"\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%5Ey=1%2F3 ALIGN=MIDDLE  ALT=\"9%5Ey=1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the property stated above to rewrite the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%5E2%29%5Ey=3%5E%28-1%29 ALIGN=MIDDLE  ALT=\"%283%5E2%29%5Ey=3%5E%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"9\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E2 ALIGN=MIDDLE  ALT=\"3%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%28-1%29 ALIGN=MIDDLE  ALT=\"3%5E%28-1%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=3%5E%282y%29=3%5E%28-1%29 ALIGN=MIDDLE  ALT=\"3%5E%282y%29=3%5E%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the exponents\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2y=-1 ALIGN=MIDDLE  ALT=\"2y=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Since the bases are equal, the exponents are equal.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1%2F2 ALIGN=MIDDLE  ALT=\"y=-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2 to isolate \"y\"\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=log%289%2C%281%2F3%29%29 ALIGN=MIDDLE  ALT=\"y=log%289%2C%281%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%289%2C%281%2F3%29%29=-1%2F2 ALIGN=MIDDLE  ALT=\"log%289%2C%281%2F3%29%29=-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%289%2C%280.3333%29%29=-1%2F2 ALIGN=MIDDLE  ALT=\"log%289%2C%280.3333%29%29=-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (where the 3's repeat)\r<BR>\n" );
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