document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=4694>Question 4694</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a couple of questions that I need help with:\r<BR>\n" );
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document.write( "1.  Solve for x:  <BR>\n" );
document.write( "    ln7 + ln(x-3) = ln(x + 15)\r<BR>\n" );
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document.write( "2.  Solve for x:<BR>\n" );
document.write( "    28 = 19 + 12^(x-7)<BR>\n" );
document.write( "    **The (x-7) is an exponent for the number 12\r<BR>\n" );
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document.write( "3.  Solve for x:  <BR>\n" );
document.write( "    e^(3x-4) = 1/e^(x-12)<BR>\n" );
document.write( "    **The (3x-4) and (x-12) are both exponents\r<BR>\n" );
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document.write( "4.  Use the properties of logarithms to write 3lnx^2 + ln(2x-4)-ln(3x-6) as a single logarithm.\r<BR>\n" );
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document.write( "To whoever is kind enough to help with answering these problems:  Thank you and I would appreciate it if you could show your work so I can better understand how to do these types of problems myself.  Thanks again! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2202 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=2202\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln7+%2B+ln%28x-3%29+=+ln%28x+%2B+15%29 ALIGN=MIDDLE  ALT=\"ln7+%2B+ln%28x-3%29+=+ln%28x+%2B+15%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%287%28x-3%29+=+ln%28x%2B15%29%29 ALIGN=MIDDLE  ALT=\"ln%287%28x-3%29+=+ln%28x%2B15%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Now just raise everything to the power e, to remove the natural logs:\r<BR>\n" );
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document.write( "7(x-3) = x+15<BR>\n" );
document.write( "7x-21 = x+15<BR>\n" );
document.write( "6x = 36<BR>\n" );
document.write( "x = 6\r<BR>\n" );
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document.write( "2. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28+=+19+%2B+12%5E%28x-7%29 ALIGN=MIDDLE  ALT=\"28+=+19+%2B+12%5E%28x-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9+=+12%5E%28x-7%29 ALIGN=MIDDLE  ALT=\"9+=+12%5E%28x-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Take logs to the base 10:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log9+=+log12%5E%28x-7%29 ALIGN=MIDDLE  ALT=\"log9+=+log12%5E%28x-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log9+=+%28x-7%29log12 ALIGN=MIDDLE  ALT=\"log9+=+%28x-7%29log12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-7+=+%28log9%29%2F%28log12%29 ALIGN=MIDDLE  ALT=\"x-7+=+%28log9%29%2F%28log12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x-7 = 0.884228<BR>\n" );
document.write( "so x = 7.884228\r<BR>\n" );
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document.write( "3. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%283x-4%29+=+1%2Fe%5E%28x-12%29 ALIGN=MIDDLE  ALT=\"e%5E%283x-4%29+=+1%2Fe%5E%28x-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%283x-4%29+=+e%5E%28-%28x-12%29%29 ALIGN=MIDDLE  ALT=\"e%5E%283x-4%29+=+e%5E%28-%28x-12%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=e%5E%283x-4%29+=+e%5E%2812-x%29 ALIGN=MIDDLE  ALT=\"e%5E%283x-4%29+=+e%5E%2812-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Now take natural logs of both sides, to remove the \"e\":\r<BR>\n" );
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document.write( "3x-4 = 12-x<BR>\n" );
document.write( "4x = 16<BR>\n" );
document.write( "x = 4\r<BR>\n" );
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document.write( "--> check these answers in the original questions.\r<BR>\n" );
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document.write( "jon.<BR>\n" );
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