document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=926231>Question 926231</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi I'm stuck on the following problem, would you help me out, please?\r<BR>\n" );
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document.write( "Let log_b (3) = A and log_b(2) = C. <BR>\n" );
document.write( "log_b(sqrt(3/128))\r<BR>\n" );
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document.write( "I know the numerator will be 3^1/2 which is 1/2A, but unsure of what to do with sqrt(128) which equals 2^7.\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #562117 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=562117\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe this might be your answer.\r<BR>\n" );
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document.write( "logb(sqrt(128) equals:\r<BR>\n" );
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document.write( "logb(128^(1/2) which equals:\r<BR>\n" );
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document.write( "1/2 * logb(128) which equals:\r<BR>\n" );
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document.write( "1/2 * logb(2*64) which equals:\r<BR>\n" );
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document.write( "1/2 * (logb(2) + logb(64) which equals:\r<BR>\n" );
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document.write( "1/2 * logb(2) + 1/2 * logb(64) which equals:\r<BR>\n" );
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document.write( "1/2 * logb(2) + 1/2 * logb(8^2) which equals:\r<BR>\n" );
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document.write( "1/2 * logb(2) + 1/2 * 2 * logb(8) which equals:\r<BR>\n" );
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document.write( "1/2 * logb(2) + 1/2 * 2 * logb(2^3) which equals:\r<BR>\n" );
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document.write( "1/2 * logb(2) + 1/2 * 2 * 3 * logb(2) which can be simplified to:\r<BR>\n" );
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document.write( "1/2 * logb(2) + 3 * logb(2).\r<BR>\n" );
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document.write( "since logb(2) = C, this can be further simplified to:\r<BR>\n" );
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document.write( "1/2 * C + 3 * C which can then be combined into:\r<BR>\n" );
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document.write( "3.5 * C\r<BR>\n" );
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document.write( " </SPAN>\n" );
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