document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=209259>Question 209259</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Make x the subject of this formula:\r<BR>\n" );
document.write( "\n" );
document.write( "a = b^x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #158188 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=158188\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a=b^x,,,,take  log  of  both  sides,,remembering log  b^x = x* log b<BR>\n" );
document.write( ".<BR>\n" );
document.write( "log a = x*log b<BR>\n" );
document.write( ".<BR>\n" );
document.write( "log a / log b = x<BR>\n" );
document.write( ".\r<BR>\n" );
document.write( "\n" );
document.write( ".<BR>\n" );
document.write( "check,,let  a=3,,b=2,, x= 1.585,,,3=2^1.585,,,,,,ok <BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "OR,,  using  the  def  of  exp/ log<BR>\n" );
document.write( ".<BR>\n" );
document.write( "a = b^x,,,becomes,,,,x=log(b) {a},,,,that  is  log  to  base b  of  a,,,<BR>\n" );
document.write( ".<BR>\n" );
document.write( "checking,,, 1.585 = log(b) {a} = log{a} / log(b) = log 3/ log 2,,,ok </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );