document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204567>Question 1204567</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sorry I don't know how to type this up. I looked at the guide but still can't get it right.\r<BR>\n" );
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document.write( "Evaluate.<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 #840892 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=840892\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%288%2Asqrt%282%29%29%29 ALIGN=MIDDLE  ALT=\"log%282%2C%288%2Asqrt%282%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > would be written out as log(2, 8*sqrt(2) )<BR>\n" );
document.write( "Or you could say \"log base 2 of 8*sqrt(2)\" \r<BR>\n" );
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document.write( "Here is one approach.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%282%2C%288%2Asqrt%282%29%29%29+=+x ALIGN=MIDDLE  ALT=\"log%282%2C%288%2Asqrt%282%29%29%29+=+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5Ex+=+8%2Asqrt%282%29 ALIGN=MIDDLE  ALT=\"2%5Ex+=+8%2Asqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Convert the equation to exponential form\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5Ex+=+2%5E3%2A%282%29%5E%281%2F2%29%5E%22%22 ALIGN=MIDDLE  ALT=\"2%5Ex+=+2%5E3%2A%282%29%5E%281%2F2%29%5E%22%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite 8 as 2^3. Rewrite the square root as an exponent of 1/2.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%28x%29+=+2%5E%283%2B1%2F2%29%5E%22%22 ALIGN=MIDDLE  ALT=\"2%5E%28x%29+=+2%5E%283%2B1%2F2%29%5E%22%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the rule that a^b*a^c = a^(b+c)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%28x%29+=+2%5E%287%2F2%29%5E%22%22 ALIGN=MIDDLE  ALT=\"2%5E%28x%29+=+2%5E%287%2F2%29%5E%22%22\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+7%2F2 ALIGN=MIDDLE  ALT=\"x+=+7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Since the bases are equal, the exponents must be equal.\r<BR>\n" );
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document.write( "Another approach would be to use the change of base formula similar to what was done on this question<BR>\n" );
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document.write( "As quick confirmation, use a calculator to find that<BR>\n" );
document.write( "log( 8*sqrt(2) )/log(2) = 3.5<BR>\n" );
document.write( "and<BR>\n" );
document.write( "7/2 = 3.5<BR>\n" );
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