document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=32579>Question 32579</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072934824/algebrahomeworkh>algebra for college students</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I am having trouble with this problem, I need to sove for x. let h(x)= 4^(2x-1)<BR>\n" );
document.write( "h(x)=(square root of 2) sorry i'm not sure how to enter that.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #19071 by </B><A HREF=/tutors/aboutme.mpl?userid=mukhopadhyay><B>mukhopadhyay(490)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mukhopadhyay><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=19071\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solution for x will be in terms of h(x).<BR>\n" );
document.write( "h(x)= 4^(2x-1)<BR>\n" );
document.write( "Take log on both sides<BR>\n" );
document.write( "log h(x) = log [4^(2x-1)]<BR>\n" );
document.write( "=> log h(x) = (2x-1) log 4<BR>\n" );
document.write( "=> (2x-1) = [log h(x)]/[2 log 2] .... (log 4 = log 2^2 = 2 log 2)<BR>\n" );
document.write( "=> 2x = 1 + [log h(x)]/[2 log 2]<BR>\n" );
document.write( "=> x = (1/2)[1 + {log h(x)/(2 log 2)}] </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );