document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=397798>Question 397798</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that y = ax^b and that y = 5 when x = 2 and y = 29 when x = 4, find the value of a and of b.\r<BR>\n" );
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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 #281830 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=281830\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given that y = ax^b and that y = 5 <BR>\n" );
document.write( "when x = 2 and y = 29 when x = 4, <BR>\n" );
document.write( "find the value of a and of b.<BR>\n" );
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document.write( "Two Equations:<BR>\n" );
document.write( "29 = a*4^b<BR>\n" );
document.write( "5  = a*2^b<BR>\n" );
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document.write( "divide to get<BR>\n" );
document.write( "29/5 = (2^(2b))/(2^b)<BR>\n" );
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document.write( "29/5 = 2^b<BR>\n" );
document.write( "b(log2) = log(29/5)<BR>\n" );
document.write( "b = 0.7634/0.3010<BR>\n" );
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document.write( "b = 2.5362<BR>\n" );
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document.write( "Solve for \"a\":<BR>\n" );
document.write( "5 = a*2^2.5362<BR>\n" );
document.write( "5 = a*5.80<BR>\n" );
document.write( "a = 0.862<BR>\n" );
document.write( "====<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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