document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=607675>Question 607675</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, i just need a little help on a logarithmic problem. I am unawre of the difference between ln and log.\r<BR>\n" );
document.write( "\n" );
document.write( "the problem is:<BR>\n" );
document.write( "ln 5+(1/2)ln y-3ln(z+1)<BR>\n" );
document.write( "and the problem says 'rewrite expression as a single logarithm.\r<BR>\n" );
document.write( "\n" );
document.write( "thanks for your help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #382823 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=382823\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Note: ln (lowercase \"L\" then \"n\") is a natural log. It is a logarithm with base e = 2.718... (this is a special logarithm). This means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28x%29+=+log%28e%2C%28x%29%29 ALIGN=MIDDLE  ALT=\"ln%28x%29+=+log%28e%2C%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%285%29+%2B+%281%2F2%29%2Aln%28y%29+-+3%2Aln%28z%2B1%29 ALIGN=MIDDLE  ALT=\"ln%285%29+%2B+%281%2F2%29%2Aln%28y%29+-+3%2Aln%28z%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%285%29+%2B+ln%28y%5E%281%2F2%29%5E%22%22%29+-+ln%28%28z%2B1%29%5E3%29 ALIGN=MIDDLE  ALT=\"ln%285%29+%2B+ln%28y%5E%281%2F2%29%5E%22%22%29+-+ln%28%28z%2B1%29%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%285%29+%2B+ln%28sqrt%28y%29%29+-+ln%28%28z%2B1%29%5E3%29 ALIGN=MIDDLE  ALT=\"ln%285%29+%2B+ln%28sqrt%28y%29%29+-+ln%28%28z%2B1%29%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%285%2Asqrt%28y%29%29+-+ln%28%28z%2B1%29%5E3%29 ALIGN=MIDDLE  ALT=\"ln%285%2Asqrt%28y%29%29+-+ln%28%28z%2B1%29%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28%285%2Asqrt%28y%29%29%2F%28%28z%2B1%29%5E3%29%29 ALIGN=MIDDLE  ALT=\"ln%28%285%2Asqrt%28y%29%29%2F%28%28z%2B1%29%5E3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Therefore <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%285%29+%2B+%281%2F2%29%2Aln%28y%29+-+3%2Aln%28z%2B1%29 ALIGN=MIDDLE  ALT=\"ln%285%29+%2B+%281%2F2%29%2Aln%28y%29+-+3%2Aln%28z%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > condenses to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28%285%2Asqrt%28y%29%29%2F%28%28z%2B1%29%5E3%29%29 ALIGN=MIDDLE  ALT=\"ln%28%285%2Asqrt%28y%29%29%2F%28%28z%2B1%29%5E3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<font color=\"red\">--------------------------------------------------------------------------------------------------------------</font><BR>\n" );
document.write( "If you need more help, email me at <a  rel=nofollow HREF=\"mailto:jim_thompson5910@hotmail.com?Subject=I%20Need%20Algebra%20Help\">jim_thompson5910@hotmail.com</a>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Also, please consider visiting my website: <a  rel=nofollow HREF=\"http://www.freewebs.com/jimthompson5910/home.html\">http://www.freewebs.com/jimthompson5910/home.html</a> and making a donation. Thank you\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Jim<BR>\n" );
document.write( "<font color=\"red\">--------------------------------------------------------------------------------------------------------------</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );