document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30196>Question 30196</A>: <I><SPAN STYLE=\"word-break: break-all;\"> when a question asks you to show something algebraically, DO NOT substitute numbers for the variables and give me an example.  On the other hand, when a question asks you to show something numerically or to provide an example, you may substitute numbers for the variables. Show all work\r<BR>\n" );
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document.write( "  Solve for y: ln(y) + ln(2) = ln(ln(e2)). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16879 by </B><A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><B>sdmmadam@yahoo.com(530)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><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=16879\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for y: ln(y) + ln(2) = ln(ln(e2)).<BR>\n" );
document.write( "ln(y) + ln(2) = ln(ln(e^2)).<BR>\n" );
document.write( "ln(y) + ln(2) = ln(2ln(e)).  (using log base e(m^n) = n logbase e (m) )<BR>\n" );
document.write( "ln(y) + ln(2) = ln(2).  (since log base e (e) =1 and 2log(e) = 2X1 = 2 )<BR>\n" );
document.write( "log (y) = log(2)-log(2) subtracting log(2) from both the sides<BR>\n" );
document.write( "log(y) =0<BR>\n" );
document.write( "That is y = (e)^0   (applying definition log base e (N) = p implies N= (e)^p)<BR>\n" );
document.write( "That is y = 1<BR>\n" );
document.write( "Answer: y = 1<BR>\n" );
document.write( "Verification: can be done orally(using log(1) =0 ) </SPAN>\n" );
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