document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=402575>Question 402575</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the exponential equation algebraically. Approximate the result to three decimal places. (If there is no solution, enter NO SOLUTION.) <BR>\n" );
document.write( "6^3x = 4000  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #284731 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=284731\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 6^(3x) = 4000<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Take the log of both sides to get:<BR>\n" );
document.write( "(3x)log(6) = log(4000)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "3x = [log(4000)/log(6)]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = (1/3)[log(4000)/log(6)]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x = 1.5430<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============= <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );