document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=891923>Question 891923</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, this is my first time asking a question :D\r<BR>\n" );
document.write( "\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C+12+%29+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C+12+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = a , find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C+18+%29+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C+18+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > in terms of a.\r<BR>\n" );
document.write( "\n" );
document.write( "I tried to break down <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C+18+%29+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C+18+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > to something like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C+216%2F12+%29+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C+216%2F12+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > . Then, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C+216+%29+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C+216+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C+12+%29+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C+12+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > so that it can be simplified to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C+216+%29+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C+216+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > - a . But I couldn't do anything more. I tried other ways but this method seemed to be the best.\r<BR>\n" );
document.write( "\n" );
document.write( "The answer says 2a - 3 but it does not provide any explanation. Could you guide me through this question?\r<BR>\n" );
document.write( "\n" );
document.write( "I tried to work it out backwards using this answer 2a - 3. I got <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C+144+%29+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C+144+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > - 3 . Then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C+144+%29+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C+144+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C+8+%29+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C+8+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. And finally <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C+144%2F8+%29+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C+144%2F8+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > which gives me <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C+18+%29+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C+18+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Supposing I did not know the answer, how can I work it out to get 2a - 3? Thank you in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #540160 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=540160\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a-3 ALIGN=MIDDLE  ALT=\"2a-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Tricky, but here is the trick.......\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C12%29=a ALIGN=MIDDLE  ALT=\"log%282%2C12%29=a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=log%282%2C2%2A2%2A3%29 ALIGN=MIDDLE  ALT=\"a=log%282%2C2%2A2%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%28%282%5E2%29%2A3%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%28%282%5E2%29%2A3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C2%5E2%29%2Blog%282%2C3%29 ALIGN=MIDDLE  ALT=\"log%282%2C2%5E2%29%2Blog%282%2C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Alog%282%2C2%29%2Blog%282%2C3%29 ALIGN=MIDDLE  ALT=\"2%2Alog%282%2C2%29%2Blog%282%2C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Blog%282%2C3%29=a ALIGN=MIDDLE  ALT=\"2%2Blog%282%2C3%29=a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28log%282%2C3%29=a-2%29 ALIGN=MIDDLE  ALT=\"highlight_green%28log%282%2C3%29=a-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >---This is what you will use.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now Starting at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C18%29 ALIGN=MIDDLE  ALT=\"log%282%2C18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%282%2A3%5E2%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%282%2A3%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C2%29%2Blog%282%2C%283%5E2%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C2%29%2Blog%282%2C%283%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B2%2Alog%282%2C3%29 ALIGN=MIDDLE  ALT=\"1%2B2%2Alog%282%2C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----You simply substitute what you just found for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C3%29 ALIGN=MIDDLE  ALT=\"log%282%2C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > !<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );