document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1057229>Question 1057229</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show that the equation 3sin(e^x) = 2 has a solution between -1 and 0, then solve the equation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #672280 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=672280\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Show that the equation 3sin(e^x) = 2 has a solution between -1 and 0, then solve the equation.<BR>\n" );
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document.write( "f(x) = 3sin(e^x) - 2<BR>\n" );
document.write( "f(-1) = 3*03596 - 2 = -0.9211<BR>\n" );
document.write( "f(0) = 3*0.8415 - 2 = 0.5244<BR>\n" );
document.write( "--> crossed the x-axis between -1 and 0.<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "3sin(e^x) = 2<BR>\n" );
document.write( "sin(e^x) = 2/3<BR>\n" );
document.write( "e^x = asin(2/3)<BR>\n" );
document.write( "e^x =~ 0.729728<BR>\n" );
document.write( "x = ln(0.729728)<BR>\n" );
document.write( "x =~ -0.31508\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );