document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=925847>Question 925847</A>: <I><SPAN STYLE=\"word-break: break-all;\"> log(5x) = log3+log(x-2) ...Just like that; no bases. PLEASE HELP!! -If you can go step by step with explanations that would be sooo helpful. Thank you!!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #561809 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=561809\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When the base is not shown, the base is<BR>\n" );
document.write( "normally <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10+ ALIGN=MIDDLE  ALT=\"+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, because there has to<BR>\n" );
document.write( "be some base<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+5x+%29+=+log%283%29+%2B+log%28%28+x-2+%29%29+ ALIGN=MIDDLE  ALT=\"+log%28+5x+%29+=+log%283%29+%2B+log%28%28+x-2+%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "use the following general rule on the right side:<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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+5x+%29+=+log%28%28+3%2A%28+x+-+2+%29%29%29+ ALIGN=MIDDLE  ALT=\"+log%28+5x+%29+=+log%28%28+3%2A%28+x+-+2+%29%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "The next step can be stated as:<BR>\n" );
document.write( "If the logs of 2 expressions are <BR>\n" );
document.write( "equal, then the result of raising <BR>\n" );
document.write( "the bases to those logs are equal, so<BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5x+=+3%2A%28+x-2+%29+ ALIGN=MIDDLE  ALT=\"+5x+=+3%2A%28+x-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=+5x+=+3x+-+6+ ALIGN=MIDDLE  ALT=\"+5x+=+3x+-+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+=+-6+ ALIGN=MIDDLE  ALT=\"+2x+=+-6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-3+ ALIGN=MIDDLE  ALT=\"+x+=+-3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "check the answer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+5x+%29+=+log%283%29+%2B+log%28%28+x-2+%29%29+ ALIGN=MIDDLE  ALT=\"+log%28+5x+%29+=+log%283%29+%2B+log%28%28+x-2+%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%28+5%2A%28-3%29+%29%29+=+log%283%29+%2B+log%28%28+-3-2+%29%29+ ALIGN=MIDDLE  ALT=\"+log%28%28+5%2A%28-3%29+%29%29+=+log%283%29+%2B+log%28%28+-3-2+%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%28+-15+%29%29+=+log%28%28+3%2A%28-5%29+%29%29+ ALIGN=MIDDLE  ALT=\"+log%28%28+-15+%29%29+=+log%28%28+3%2A%28-5%29+%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=+-15+=+-15+ ALIGN=MIDDLE  ALT=\"+-15+=+-15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "There is a problem with this, and you should get <BR>\n" );
document.write( "more opinions on it. You can't possible get a<BR>\n" );
document.write( "negative result by raising <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+10+ ALIGN=MIDDLE  ALT=\"+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( or any (+) base )<BR>\n" );
document.write( "to any log. This seems to be what is happening.<BR>\n" );
document.write( "What's the deep explanation, or is this a bogus<BR>\n" );
document.write( "problem? Try to get an answer.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );