document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=79059>Question 79059</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395430542/algebrahomeworkh> Algebra and trigonometry Structure and Method Book 2,</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> log3(x^2-1)=1<BR>\n" );
document.write( "   <BR>\n" );
document.write( "hint:3 is a subscript<BR>\n" );
document.write( "solve for x<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56728 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=56728\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> log3(x^2-1)=1<BR>\n" );
document.write( "   <BR>\n" );
document.write( "hint:3 is a subscript<BR>\n" );
document.write( "solve for x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-1=3%5E1 ALIGN=MIDDLE  ALT=\"x%5E2-1=3%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-1=3 ALIGN=MIDDLE  ALT=\"x%5E2-1=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-1%2B1=3%2B1 ALIGN=MIDDLE  ALT=\"x%5E2-1%2B1=3%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=4 ALIGN=MIDDLE  ALT=\"x%5E2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2%29=%2B-sqrt%284%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2%29=%2B-sqrt%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Check for extraneous solutions:<BR>\n" );
document.write( "log3 ((-2)^1-1)=1<BR>\n" );
document.write( "log3 (4-1)=1<BR>\n" );
document.write( "log3 3=1<BR>\n" );
document.write( "1=1  -2 checks out.<BR>\n" );
document.write( "log3 ((2)^2-1)=1<BR>\n" );
document.write( "log3 (4-1)=1<BR>\n" );
document.write( "log3 (3)=1<BR>\n" );
document.write( "1=1  2 checks out too.<BR>\n" );
document.write( "The solutions are, x={-2,2}<BR>\n" );
document.write( "Happy Calculating!!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );