document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=744927>Question 744927</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If log(base 3)2 = x simplify each logarithm<BR>\n" );
document.write( "a) log(base 3)8<BR>\n" );
document.write( "b) log(base 3)24<BR>\n" );
document.write( "c) log(base 3)&#8730;2<BR>\n" );
document.write( "d) log(base 3)6&#8730;2\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "Can you please help me out? Thanks so much in advance:)<BR>\n" );
document.write( "Can you also show all the steps because it would help me understand :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #453615 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=453615\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How well do you understand what logs are?<BR>\n" );
document.write( "If I say <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5Eb+=+c+ ALIGN=MIDDLE  ALT=\"+a%5Eb+=+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%7D%7D+is+the+base%0D%0A%7B%7B%7B+b+ ALIGN=MIDDLE  ALT=\"+a+%7D%7D+is+the+base%0D%0A%7B%7B%7B+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the log<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+ ALIGN=MIDDLE  ALT=\"+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the result<BR>\n" );
document.write( "So I can rewrite this exactly as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+a%2Cc+%29+=+b+ ALIGN=MIDDLE  ALT=\"+log%28+a%2Cc+%29+=+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "The general rules are:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+a%2Ca+%29+=+1+ ALIGN=MIDDLE  ALT=\"+log%28+a%2Ca+%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+a+%29+%2B+log%28+b+%29+=+log%28+a%2Ab+%29 ALIGN=MIDDLE  ALT=\"+log%28+a+%29+%2B+log%28+b+%29+=+log%28+a%2Ab+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ( the base can be 10, or anything else )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+a%5E2+%29+=+2%2Alog%28a%29+ ALIGN=MIDDLE  ALT=\"+log%28+a%5E2+%29+=+2%2Alog%28a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( again, the base can be anything )<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+3%2C2+%29+=+x+ ALIGN=MIDDLE  ALT=\"+log%28+3%2C2+%29+=+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+3%2C8+%29+=+log%28+3%2C+2%5E3+%29+ ALIGN=MIDDLE  ALT=\"+log%28+3%2C8+%29+=+log%28+3%2C+2%5E3+%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%28+3%2C+2%5E3+%29+=+3%2Alog%28+3%2C2+%29+ ALIGN=MIDDLE  ALT=\"+log%28+3%2C+2%5E3+%29+=+3%2Alog%28+3%2C2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%2Alog%28+3%2C2+%29+=+3x+ ALIGN=MIDDLE  ALT=\"+3%2Alog%28+3%2C2+%29+=+3x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+3%2C24+%29+=+log%28+3%2C+3%2A8+%29+ ALIGN=MIDDLE  ALT=\"+log%28+3%2C24+%29+=+log%28+3%2C+3%2A8+%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%28+3%2C+3%2A8+%29+=+log%28+3%2C3+%29+%2B+log%28+3%2C8+%29+ ALIGN=MIDDLE  ALT=\"+log%28+3%2C+3%2A8+%29+=+log%28+3%2C3+%29+%2B+log%28+3%2C8+%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%28+3%2C3+%29+%2B+log%28+3%2C8+%29+=+1+%2B+3x+ ALIGN=MIDDLE  ALT=\"++log%28+3%2C3+%29+%2B+log%28+3%2C8+%29+=+1+%2B+3x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+3%2C+sqrt%282%29%29+=+log%28+3%2C+2%5E%281%2F2%29%29+ ALIGN=MIDDLE  ALT=\"+log%28+3%2C+sqrt%282%29%29+=+log%28+3%2C+2%5E%281%2F2%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%28+3%2C+2%5E%281%2F2%29%29+=+%281%2F2%29%2Alog%28+3%2C+2+%29+ ALIGN=MIDDLE  ALT=\"++log%28+3%2C+2%5E%281%2F2%29%29+=+%281%2F2%29%2Alog%28+3%2C+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F2%29%2Alog%28+3%2C+2+%29+=+x%2F2+ ALIGN=MIDDLE  ALT=\"+%281%2F2%29%2Alog%28+3%2C+2+%29+=+x%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+3%2C+6%2Asqrt%282%29+%29+=+log%28+3%2C6+%29+%2B+log%28+3%2C+sqrt%282%29+%29+ ALIGN=MIDDLE  ALT=\"+log%28+3%2C+6%2Asqrt%282%29+%29+=+log%28+3%2C6+%29+%2B+log%28+3%2C+sqrt%282%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%28+3%2C6+%29+%2B+log%28+3%2C+sqrt%282%29%29+=+log%28+3%2C+2%2A3+%29+%2B+log%28+3%2C+2%5E%281%2F2%29+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++log%28+3%2C+2%2A3+%29+%2B+log%28+3%2C+2%5E%281%2F2%29+%29+=+log%28+3%2C2+%29+%2B+log%28+3%2C3+%29+%2B+%281%2F2%29%2Alog%28+3%2C2+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+3%2C2+%29+%2B+log%28+3%2C3+%29+%2B+%281%2F2%29%2Alog%28+3%2C2+%29+=+x+%2B+1+%2B+x%2F2+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+%2B+1+%2B+x%2F2+=+1+%2B+%283x%29%2F2+ ALIGN=MIDDLE  ALT=\"+x+%2B+1+%2B+x%2F2+=+1+%2B+%283x%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );