document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=72577>Question 72577</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help solving this problem:\r<BR>\n" );
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document.write( "3^&#8730;x^2 = 4  \r<BR>\n" );
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document.write( " \"^\" it means it's an exponent.... so it is 3 cubed to the square root of X squared = 4\"  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #51889 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=51889\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need help solving this problem: <BR>\n" );
document.write( "3^&#8730;x^2 = 4 <BR>\n" );
document.write( "\"^\" it means it's an exponent.... so it is 3 cubed to the square root of X squared = 4\" <BR>\n" );
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document.write( "It looks like you have posted two problems:<BR>\n" );
document.write( "1st: 3^(sqrt(x^2) = 4<BR>\n" );
document.write( "3^x = 4<BR>\n" );
document.write( "Take the log to get:<BR>\n" );
document.write( "x(log3) = log4<BR>\n" );
document.write( "x= (log4)/(log3)<BR>\n" );
document.write( "x= 1.262<BR>\n" );
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document.write( "2nd: 3 cubed to the square root of X squared = 4\" <BR>\n" );
document.write( "(3^3)^(sqrt(x^2)) = 4<BR>\n" );
document.write( "27^x = 4<BR>\n" );
document.write( "Take the log of both sides to get:<BR>\n" );
document.write( "xlog27=log4<BR>\n" );
document.write( "x=(log4)/(log27)<BR>\n" );
document.write( "x=0.42062<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );