document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=277178>Question 277178</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi my question is how do I simplify: y = 2(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Elnx ALIGN=MIDDLE  ALT=\"x%5Elnx\"   DISABLED_style= \"max-width:90%; height:auto;\" >) ?<BR>\n" );
document.write( "I took the ln of both sides and I tried bringing the lnx down by properties of log so I ended up with: <BR>\n" );
document.write( "lny = lnxln2x\r<BR>\n" );
document.write( "\n" );
document.write( "How do I simplify this?   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #201969 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=201969\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the problem is as you posted it, then there is nothing you can do to simplify it.<br><BR>\n" );
document.write( "However, if the problem is actually:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2e%5E%28ln%28x%29%29 ALIGN=MIDDLE  ALT=\"y+=+2e%5E%28ln%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "then there is something we can do. And it helps if you understand what a logarithm represents. Logarithms are exponents. In general<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28a%2C+%28b%29%29 ALIGN=MIDDLE  ALT=\"log%28a%2C+%28b%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "represents the exponent for \"a\" which results in \"b\". With your equation,<BR>\n" );
document.write( "ln(x)<BR>\n" );
document.write( "represents the exponent for e which results in x. And where so we find ln(x)? Answer: As an exponent on e! So<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28ln%28x%29%29+=+x ALIGN=MIDDLE  ALT=\"e%5E%28ln%28x%29%29+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "by the very definition of logarithms! So your equation simplifies to:<BR>\n" );
document.write( "y = 2x </SPAN>\n" );
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