document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=274677>Question 274677</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the inverses: F(x)= 3 * 5^x - 1    :    G(x)= log(base5)(2x-7)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #200470 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=200470\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> G(x)= log(base5)(2x-7) <BR>\n" );
document.write( "y=log[5](2x-7)<BR>\n" );
document.write( "x=log[5](2y-7)<BR>\n" );
document.write( "5^x=5^(log[5](2y-7))<BR>\n" );
document.write( "5^x=2y-7<BR>\n" );
document.write( "2y=5^x-7<BR>\n" );
document.write( "y=(5^x-7)/2<BR>\n" );
document.write( "G^1(x)=(5^x-7)/2<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );