document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=196459>Question 196459</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you find the inverse function f^-1(x) for f(x)=2(3)^x? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #147256 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=147256\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=2(3)^x<BR>\n" );
document.write( "y = 2(3)^x<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Reverse x and y:<BR>\n" );
document.write( "x = 2(3)^y<BR>\n" );
document.write( "Solve for y:<BR>\n" );
document.write( "x = 2(3)^y<BR>\n" );
document.write( "x/2 = 3^y<BR>\n" );
document.write( "log3(x/2) = y (that's log base 3)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Therefore,<BR>\n" );
document.write( "f^-1(x) = log3(x/2)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );