document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=38713>Question 38713</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4 (to the power of)x+1=3 (to the power of)x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #24536 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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/cgi-bin/show-face.mpl?user=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=24536\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Okay from<BR>\n" );
document.write( "4^(x+1) = 3^x<BR>\n" );
document.write( "take the log of both sides and get<BR>\n" );
document.write( "log 4^(x+1) =  log 3^x<BR>\n" );
document.write( "Now apply the power rule<BR>\n" );
document.write( "(x+1)*log 4 = x*log 3<BR>\n" );
document.write( "and solve for x<BR>\n" );
document.write( "x*log 4 + log 4 = x*log 3<BR>\n" );
document.write( "x*log 4 - x*log 3 = -log 4<BR>\n" );
document.write( "x*(log 4 - log 3) = -log 4<BR>\n" );
document.write( "x = -log 4 / (log 4 - log 3)<BR>\n" );
document.write( "x = log 4 / (log 3 - log 4) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );