document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=430453>Question 430453</A>: <I><SPAN STYLE=\"word-break: break-all;\"> By using log,solve the following equations.a)5^x=7<BR>\n" );
document.write( "b)3^x+2=2^x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #298960 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=298960\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)5^x=7<BR>\n" );
document.write( "x*log(5) = log(7)<BR>\n" );
document.write( "x = log(7)/log(5)<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "b)3^x+2=2^x<BR>\n" );
document.write( "I think you mean<BR>\n" );
document.write( "3^(x+2) = 2^x<BR>\n" );
document.write( "(x+2)*log(3) = x*log(2)<BR>\n" );
document.write( "x*log(3) + log(9) = x*log(2)<BR>\n" );
document.write( "x(log(3) - log(2)) = -log(9)<BR>\n" );
document.write( "x = -log(9)/log(1.5)<BR>\n" );
document.write( "x =~ -5.419<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );