document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=898371>Question 898371</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that log3 p = q , find q^(q+2) in terms of p . </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #544802 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=544802\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you are given that log3(p) = q.\r<BR>\n" );
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document.write( "q^(q+2) should therefore be equal to log3(p)^(log3(p) + 2)\r<BR>\n" );
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document.write( "let's assume that q is equal to 2.\r<BR>\n" );
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document.write( "log3(p) = q if and only if 3^q = p\r<BR>\n" );
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document.write( "since q = 2, then p must be equal to 9.\r<BR>\n" );
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document.write( "you get:\r<BR>\n" );
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document.write( "log3(9) = 2\r<BR>\n" );
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document.write( "this is true if and only if 3^2 = 9 which it is, so the statement is true.\r<BR>\n" );
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document.write( "q^(q+2) is equivalent to log3(p) ^ (log3(p) + 2)\r<BR>\n" );
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document.write( "since p is equal to 9, then q^(q+2) must be equal to log3(9) ^ ( log3(9) + 2)\r<BR>\n" );
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document.write( "since log3(9) = 2, then we get log3(9)^(log3(9) + 2) = 2^(2+2) which is equal to 2^4.\r<BR>\n" );
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document.write( "we also get q^(q+2) = 2^(2+2) = 2^4 as well.\r<BR>\n" );
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document.write( "i think your answer is that:\r<BR>\n" );
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document.write( "q^(q+2) in terms of p is equal to log3(p)^(log3(p) + 2)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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