document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058775>Question 1058775</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am looking for how I get the answer for:<BR>\n" );
document.write( "ln(5x) = 3 + ln(x-1)\r<BR>\n" );
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document.write( "I move the natural logs to one side to make ln(5x) - ln(x-1) = 3, then use the properties of logarithms to get ln(5x/(x-1)) = 3. \r<BR>\n" );
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document.write( "I then make both sides a power of e to cancel out the ln and end up with 5x/(x-1) = e^3\r<BR>\n" );
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document.write( "I then multiply both sides by (x-1) to remove the fraction and get 5x = (e^3)x - e^3\r<BR>\n" );
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document.write( "Here is where I am stuck. I am unsure how to isolate the x. I know what the answer is supposed to be as this is a practice problem, but I don't know how to get there from here! And maybe I made a mistake in the process. Any help is greatly appreciated! 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 #673869 by </B><A HREF=/tutors/aboutme.mpl?userid=solve_for_x><B>solve_for_x(190)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solve_for_x><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=673869\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What you have is correct so far.\r<BR>\n" );
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document.write( "From here:\r<BR>\n" );
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document.write( "5x = (e^3)x - e^3\r<BR>\n" );
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document.write( "rearrange the equation by adding e^3 to both sides, and subtracting<BR>\n" );
document.write( "5x from both sides. This gives:\r<BR>\n" );
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document.write( "(e^3)x - 5x = e^3\r<BR>\n" );
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document.write( "Factor the left side to get:\r<BR>\n" );
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document.write( "(e^3 - 5)x = e^3\r<BR>\n" );
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document.write( "Finally, divide both sides by (e^3 - 5) to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+e%5E3+%2F+%28e%5E3+-+5%29 ALIGN=MIDDLE  ALT=\"x+=+e%5E3+%2F+%28e%5E3+-+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If desired, this can be simplified as:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1+-+%28e%5E3%2F5%29 ALIGN=MIDDLE  ALT=\"x+=+1+-+%28e%5E3%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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