document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=581652>Question 581652</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Using the exponential correlation, how do I solve for x. Round to three decimal places.<BR>\n" );
document.write( "1)log(4x+10)=3<BR>\n" );
document.write( "2)1/2 log6 16x +5=8<BR>\n" );
document.write( "3)In(x+4)=-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #371782 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=371782\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using the exponential correlation, how do I solve for x. Round to three decimal places.<BR>\n" );
document.write( "Convert to exponential form: base raised to log of the number=number<BR>\n" );
document.write( "1)log(4x+10)=3<BR>\n" );
document.write( "10^3=4x+10<BR>\n" );
document.write( "1000=4x+10<BR>\n" );
document.write( "4x=1000-10=990<BR>\n" );
document.write( "x=990/4=247.5<BR>\n" );
document.write( "..<BR>\n" );
document.write( "2)1/2 log6 16x +5=8<BR>\n" );
document.write( "log6(16x)^.5=8-5=3<BR>\n" );
document.write( "6^3=(16x)^.5<BR>\n" );
document.write( "square both sides<BR>\n" );
document.write( "6^6=16x<BR>\n" );
document.write( "x=46656/16=2916<BR>\n" );
document.write( "..<BR>\n" );
document.write( "3)In(x+4)=-2<BR>\n" );
document.write( "e^-2=x+4<BR>\n" );
document.write( "x=(e^-2)-4=-3.865 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );