document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=55004>Question 55004</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321356918/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find the Inverse:\r<BR>\n" );
document.write( "\n" );
document.write( "f(x)=( 1/2 )[ 10^(x-1)+5]\r<BR>\n" );
document.write( "\n" );
document.write( "book answer: log(2x-10)+1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #37203 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=37203\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y=( 1/2 )[ 10^(x-1)+5]<BR>\n" );
document.write( "Interchange x and y to get the inverse.<BR>\n" );
document.write( "x=(1/2)[10^(y-1)+5]<BR>\n" );
document.write( "Solve for y as follows:<BR>\n" );
document.write( "2x-5=10^(y-1)<BR>\n" );
document.write( "Take the log of both sides to get:<BR>\n" );
document.write( "log(2x-5)= y-1<BR>\n" );
document.write( "y=log(2x-5) + 1<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );