document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=792749>Question 792749</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ln e^(log(x+1)+log(x-2)) = (1/2)e^(ln(2)), what is x? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #480127 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=480127\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ln e^(log(x+1)+log(x-2)) = (1/2)e^(ln(2)), what is x?<BR>\n" );
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document.write( "log of base raised to a power=power<BR>\n" );
document.write( "ln e^(log(x+1)+log(x-2))=log(x+1)+log(x-2)=log(x+1)(x-2)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Base raised to the log of number=number<BR>\n" );
document.write( "(1/2)e^(ln(2))=(1/2)*2=1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "log(x+1)(x-2)=1<BR>\n" );
document.write( "10^1=(x+1)(x-2)<BR>\n" );
document.write( "10=x^2-x-2<BR>\n" );
document.write( "x^2-x-12=0<BR>\n" );
document.write( "(x-4)(x+3)=0<BR>\n" );
document.write( "x=4<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=-3 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );