document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=183555>Question 183555</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please explain how to do this too.. i need these 3 that i cant figue out:)<BR>\n" );
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document.write( "Evaluate each logarithm.\r<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 #137787 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=137787\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll do the first two to get you started\r<BR>\n" );
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document.write( "# 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%2832%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%2832%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given logarithm\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%282%5E5%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%282%5E5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite 32 as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E5 ALIGN=MIDDLE  ALT=\"2%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" >. The key here is we want the base to be 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Alog%282%2C%282%29%29 ALIGN=MIDDLE  ALT=\"5%2Alog%282%2C%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to rewrite the expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A1 ALIGN=MIDDLE  ALT=\"5%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the log base 2 of 2 to get 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%2832%29%29=5 ALIGN=MIDDLE  ALT=\"log%282%2C%2832%29%29=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "# 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%2C%28-100%29%29 ALIGN=MIDDLE  ALT=\"log%2810%2C%28-100%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given logarithm\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=log%2810%2C%28-100%29%29 ALIGN=MIDDLE  ALT=\"y=log%2810%2C%28-100%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Set \"y\" equal to the given logarithm\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5Ey=-100 ALIGN=MIDDLE  ALT=\"10%5Ey=-100\"   DISABLED_style= \"max-width:90%; height:auto;\" > Convert to exponential form.\r<BR>\n" );
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document.write( "Now remember, any positive number raised to a variable power will ALWAYS be positive (ie <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Ex%3E0 ALIGN=MIDDLE  ALT=\"a%5Ex%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > where \"a\" is a constant). \r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5Ey ALIGN=MIDDLE  ALT=\"10%5Ey\"   DISABLED_style= \"max-width:90%; height:auto;\" > is ALWAYS positive. So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5Ey=-100 ALIGN=MIDDLE  ALT=\"10%5Ey=-100\"   DISABLED_style= \"max-width:90%; height:auto;\" > is NOT true for any \"y\" value.\r<BR>\n" );
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document.write( "So there are no solutions\r<BR>\n" );
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