document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1056096>Question 1056096</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the logarithmic expression as a sum or difference of logarithms.\r<BR>\n" );
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document.write( "ln [(2x sqrt x^2+1)/(x+3)]<BR>\n" );
document.write( "all of x^2+1 is inside the square root\r<BR>\n" );
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document.write( "So far I have ln(2) + ln(x) - ln(x+3)<BR>\n" );
document.write( "I think ln(x+3) stays the same, but that square root stuff is really confusing. thank you to whoever helps me out! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #671288 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52803)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=671288\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Write the logarithmic expression as a sum or difference of logarithms.\r<BR>\n" );
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document.write( "ln [(2x sqrt x^2+1)/(x+3)]<BR>\n" );
document.write( "all of x^2+1 is inside the square root\r<BR>\n" );
document.write( "\n" );
document.write( "So far I have ln(2) + ln(x) - ln(x+3)<BR>\n" );
document.write( "I think ln(x+3) stays the same, but that square root stuff is really confusing. thank you to whoever helps me out!<BR>\n" );
document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "ln [(2x sqrt x^2+1)/(x+3)] = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28%28%282x%29%2Asqrt%28x%5E2%2B1%29%29%2F%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"ln%28%28%282x%29%2Asqrt%28x%5E2%2B1%29%29%2F%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282x%29 ALIGN=MIDDLE  ALT=\"ln%282x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28sqrt%28x%5E2%2B1%29%29 ALIGN=MIDDLE  ALT=\"ln%28sqrt%28x%5E2%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28x%2B3%29 ALIGN=MIDDLE  ALT=\"ln%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%282%29 ALIGN=MIDDLE  ALT=\"ln%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + ln(x) + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2Aln%28x%5E2%2B1%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2Aln%28x%5E2%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28x%2B3%29 ALIGN=MIDDLE  ALT=\"ln%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r\n" );
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document.write( "<U>Comment from student</U>: Thank you so much for helping me out. The explanation to the logarithm math question <BR>\n" );
document.write( "was answered by you extremely well. I understood everything (: <BR>\n" );
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document.write( "<U>My response</U>: I am glad to hear it.\r<BR>\n" );
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document.write( "On logarithms, see a bunch of lessons\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/logarithm/what-is-the-logarithm.lesson>WHAT IS the logarithm</A>, \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/logarithm/Properties-of-the-logarithm.lesson>Properties of the logarithm</A>, \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/logarithm/change-of-base-formula-for-logarithms.lesson>Change of Base Formula for logarithms</A>, \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/logarithm/How-to-solve-logarithmic-equations.lesson>Solving logarithmic equations</A>, \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/logarithm/Using-logarithms-to-solve-real-world-problems.lesson>Using logarithms to solve real world problems</A>, &nbsp;and\r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.\r<BR>\n" );
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document.write( "The referred lessons are the part of this online textbook under the topic \"<U>Logarithms</U>\".\r<BR>\n" );
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document.write( " </SPAN>\n" );
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