document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29255>Question 29255</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you solve for x: 9 to the x power equals 3?<BR>\n" );
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document.write( "                      x<BR>\n" );
document.write( "  solve for x:       9   =   3<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16083 by </B><A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><B>sdmmadam@yahoo.com(530)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><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=16083\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 9 to the x power equals 3?\r<BR>\n" );
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document.write( "(9)^x = 3<BR>\n" );
document.write( "[(3^2)]^x = 3<BR>\n" );
document.write( "That is (3)^(2x) = (3)^1<BR>\n" );
document.write( "implies (2x) = 1   (using (a)^m = (a)^n implies m = n)<BR>\n" );
document.write( "x= (1/2)<BR>\n" );
document.write( "Answer:x=(1/2)<BR>\n" );
document.write( "Verification: (9)^x =(9)^(1/2) = 3 correct<BR>\n" );
document.write( "Note: Why should we write 9 as (3^2)?<BR>\n" );
document.write( "We write it so because the quantity on the other side is 3 which means <BR>\n" );
document.write( "it is (3)^1 and so we try to write the LHS and the RHS in terms of the same base so that we can apply the rule: <BR>\n" );
document.write( "bases are the same and so the powers are equal </SPAN>\n" );
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