document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=579820>Question 579820</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please solve log base 3(X+1)=4 and e^x=5 and expand log base b 2x^2y^3. Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #371068 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=371068\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Please solve <BR>\n" );
document.write( "log base 3(X+1)=4 <BR>\n" );
document.write( "------<BR>\n" );
document.write( "x+1 = 3^4 = 81<BR>\n" );
document.write( "x = 80<BR>\n" );
document.write( "-----------------------\r<BR>\n" );
document.write( "\n" );
document.write( "e^x=5 <BR>\n" );
document.write( "Take the natural log of both sides to get:<BR>\n" );
document.write( "x = ln(5) = 1.6094<BR>\n" );
document.write( "----------------------- \r<BR>\n" );
document.write( "\n" );
document.write( "expand:<BR>\n" );
document.write( " log base b(2x^2y^3)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "= logb(2) + logb(x^2) + logb(y^3)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "= logb(2) + 2logb(x) = 3logb(y)<BR>\n" );
document.write( "========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );