document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=700443>Question 700443</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Kindly please assist.<BR>\n" );
document.write( "Solve 2^x=5^x^2 for x\r<BR>\n" );
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document.write( "a)0.431<BR>\n" );
document.write( "b)2.322<BR>\n" );
document.write( "c)0 and 0.431<BR>\n" );
document.write( "d)0 and 2.322 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #431827 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=431827\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve 2^x=5^x^2 for x <BR>\n" );
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document.write( "2^x = 5^(x^2)<BR>\n" );
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document.write( "Take the log of both sides:<BR>\n" );
document.write( "x*log(2) = x^2(log(5))<BR>\n" );
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document.write( "0.6990x^2 - 0.3010x = 0<BR>\n" );
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document.write( "x[0.6990x - 0.3010] = 0<BR>\n" );
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document.write( "x = 0 or x = (0.3010/0.6990)<BR>\n" );
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document.write( "x = 0 or x = 0.431<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "---------------\r<BR>\n" );
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document.write( "a)0.431<BR>\n" );
document.write( "b)2.322<BR>\n" );
document.write( "c)0 and 0.431<BR>\n" );
document.write( "d)0 and 2.322<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );