document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=172872>Question 172872</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I tried these problems but I'm not sure if they're right. There were 3 parts, or 3 different equations to solve rather. part a) ln(x-4) + ln(2x) = ln(6). first i distributed the ln to the (x-4) and came up with ln(x) - ln(4) + ln(2x) = ln(6). I dont know if this is possible, but then i canceled out all of the lns and was left with 3x=10, meaning x=10/3. <BR>\n" );
document.write( "partb) e^2x-7 = 9. I know you have to take the ln of each side, but then i got stuck after i put the exponent as the coefficient leaving me with 2x-7lne = ln9<BR>\n" );
document.write( "partc) log (9x+5) - log3 =2. not sure how to do this one. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127742 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=127742\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well, as they say in the old country...\"you can't that there 'ere\"<BR>\n" );
document.write( "Let's see how it should go:<BR>\n" );
document.write( "a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28x-4%29%2Bln%282x%29+=+ln%286%29 ALIGN=MIDDLE  ALT=\"ln%28x-4%29%2Bln%282x%29+=+ln%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the \"product rule\" for logarithms...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28M%29%2Blog%28N%29+=+log%28M%2AN%29 ALIGN=MIDDLE  ALT=\"log%28M%29%2Blog%28N%29+=+log%28M%2AN%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28%28x-4%29%282x%29%29+=+ln%286%29 ALIGN=MIDDLE  ALT=\"ln%28%28x-4%29%282x%29%29+=+ln%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify the left side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282x%5E2-8x%29+=+ln%286%29 ALIGN=MIDDLE  ALT=\"ln%282x%5E2-8x%29+=+ln%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...and if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28M%29+=+log%28N%29 ALIGN=MIDDLE  ALT=\"log%28M%29+=+log%28N%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M+=+N ALIGN=MIDDLE  ALT=\"M+=+N\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E2-8x%29+=+6 ALIGN=MIDDLE  ALT=\"%282x%5E2-8x%29+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 6 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2-8x-6+=+0 ALIGN=MIDDLE  ALT=\"2x%5E2-8x-6+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve by the quadratic formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%28-8%29%2B-sqrt%28%28-8%29%5E2-4%282%29%28-6%29%29%29%2F2%282%29 ALIGN=MIDDLE  ALT=\"x+=+%28-%28-8%29%2B-sqrt%28%28-8%29%5E2-4%282%29%28-6%29%29%29%2F2%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%288%2B-sqrt%2864%2B48%29%29%2F4 ALIGN=MIDDLE  ALT=\"x+=+%288%2B-sqrt%2864%2B48%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%288%2B4sqrt%287%29%29%2F4 ALIGN=MIDDLE  ALT=\"x+=+%288%2B4sqrt%287%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%288-2sqrt%287%29%29%2F4 ALIGN=MIDDLE  ALT=\"x+=+%288-2sqrt%287%29%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2%2Bsqrt%287%29 ALIGN=MIDDLE  ALT=\"x+=+2%2Bsqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2-sqrt%287%29 ALIGN=MIDDLE  ALT=\"x+=+2-sqrt%287%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------------------<BR>\n" );
document.write( "b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%282x-7%29+=+9 ALIGN=MIDDLE  ALT=\"e%5E%282x-7%29+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the natural log of both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%5E%282x-7%29%29+=+ln%289%29 ALIGN=MIDDLE  ALT=\"ln%28e%5E%282x-7%29%29+=+ln%289%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the \"power rule\" to the left side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-7%29ln%28e%29+=+ln%289%29 ALIGN=MIDDLE  ALT=\"%282x-7%29ln%28e%29+=+ln%289%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%29+=+1 ALIGN=MIDDLE  ALT=\"ln%28e%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=2x-7+=+ln%289%29 ALIGN=MIDDLE  ALT=\"2x-7+=+ln%289%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the ln(9).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-7+=+2.197 ALIGN=MIDDLE  ALT=\"2x-7+=+2.197\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add 7 to both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+=+9.197 ALIGN=MIDDLE  ALT=\"2x+=+9.197\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 2.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+4.598 ALIGN=MIDDLE  ALT=\"x+=+4.598\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------------------<BR>\n" );
document.write( "c)<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%289x%2B5%29%29-log%283%29+=+2 ALIGN=MIDDLE  ALT=\"log%28%289x%2B5%29%29-log%283%29+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the \"quotient rule\" to the left side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%289x%2B5%29%2F3%29+=+2 ALIGN=MIDDLE  ALT=\"log%28%289x%2B5%29%2F3%29+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite in exponential form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E2+=+%289x%2B5%29%2F3 ALIGN=MIDDLE  ALT=\"10%5E2+=+%289x%2B5%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 3.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300+=+9x%2B5 ALIGN=MIDDLE  ALT=\"300+=+9x%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 5 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=295+=+9x ALIGN=MIDDLE  ALT=\"295+=+9x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 9.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+32.77 ALIGN=MIDDLE  ALT=\"x+=+32.77\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );