document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=133254>Question 133254</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the unknown in the equation log 11 = log(10^z+4 plus 10^z+3)\r<BR>\n" );
document.write( "\n" );
document.write( "What are the steps to get the answer z = -3? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #97464 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=97464\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> log 11 = log(10^(z+4) + 10^(z+3))\r<BR>\n" );
document.write( "\n" );
document.write( "log 11 = log(10000*10^z + 1000*10^z)\r<BR>\n" );
document.write( "\n" );
document.write( "log 11 = log(11000*10^z)\r<BR>\n" );
document.write( "\n" );
document.write( "log 11 = log11000 + log10^z\r<BR>\n" );
document.write( "\n" );
document.write( "log 11 = log11000 + z<BR>\n" );
document.write( "z = log11 - log11000\r<BR>\n" );
document.write( "\n" );
document.write( "z = log(11/11000)\r<BR>\n" );
document.write( "\n" );
document.write( "z = log(1/1000)\r<BR>\n" );
document.write( "\n" );
document.write( "z = -3<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );