document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=568472>Question 568472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the smallest positive number t such that <BR>\n" );
document.write( "e^(sin(t))=5/7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #366968 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=366968\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the smallest positive number t such that <BR>\n" );
document.write( "e^(sin(t))=5/7<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Take the natural log of both sides to get:<BR>\n" );
document.write( "sin(t) = ln(5/7)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "sin(t) = -0.3365<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Take the inverse sin of both sides to get:<BR>\n" );
document.write( "t = 200.07 degrees or 3.4848 radians<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );