document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=223004>Question 223004</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Here is the problem using natural logarithm:<BR>\n" );
document.write( "23=3ln(x-1)+14\r<BR>\n" );
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document.write( "What we did was the following:<BR>\n" );
document.write( "23=3ln(x-1)+14<BR>\n" );
document.write( "subtract 14 from both sides<BR>\n" );
document.write( "9=3ln(x-1)<BR>\n" );
document.write( "divide both sides by 3<BR>\n" );
document.write( "3=ln(x-1)<BR>\n" );
document.write( "x-1=e^3<BR>\n" );
document.write( "add 1 to both sides<BR>\n" );
document.write( "x=e^3+1 \r<BR>\n" );
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document.write( "Please help!!! It's driving us nuts!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #166846 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=166846\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the original problem is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23=3ln%28x-1%29%2B14 ALIGN=MIDDLE  ALT=\"23=3ln%28x-1%29%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" > and your answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=e%5E3%2B1 ALIGN=MIDDLE  ALT=\"x=e%5E3%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then you are correct.\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23=3ln%28x-1%29%2B14 ALIGN=MIDDLE  ALT=\"23=3ln%28x-1%29%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23=3ln%28e%5E3%2B1-1%29%2B14 ALIGN=MIDDLE  ALT=\"23=3ln%28e%5E3%2B1-1%29%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=e%5E3%2B1 ALIGN=MIDDLE  ALT=\"x=e%5E3%2B1\"   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=23=3ln%28e%5E3%29%2B14 ALIGN=MIDDLE  ALT=\"23=3ln%28e%5E3%29%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23=3%2A3ln%28e%29%2B14 ALIGN=MIDDLE  ALT=\"23=3%2A3ln%28e%29%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" > Pull down the exponent.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23=3%2A3%281%29%2B14 ALIGN=MIDDLE  ALT=\"23=3%2A3%281%29%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the natural log of 'e' to get 1.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23=9%2B14 ALIGN=MIDDLE  ALT=\"23=9%2B14\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23=23 ALIGN=MIDDLE  ALT=\"23=23\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add. Since the equation is true, this verifies the solution. </SPAN>\n" );
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