document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=696542>Question 696542</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the solution to the equation 1/(sqrt8) = 4^(m + 3) ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #429111 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=429111\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the solution to the equation 1/(sqrt8) = 4^(m + 3) ?<BR>\n" );
document.write( "sqrt(8) = 2^(3/2)<BR>\n" );
document.write( "1/sqrt(8) = 2^(-3/2)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "4^(m+3) = 2^(2m+6)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "2^(-3/2) = 2^(2m+6)<BR>\n" );
document.write( "-3/2 = 2m+6<BR>\n" );
document.write( "m = -15/2<BR>\n" );
document.write( "============<BR>\n" );
document.write( "What is the solution to the equation 1/(sqrt8) = 4^(m + 3) ?<BR>\n" );
document.write( "(m+3)*log(4) = log(1/sqrt(8))<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );