document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209354>Question 1209354</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose a\neq 0.  Compute log_{8a} 4b if a = 1 and b = 32. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #848627 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3816)</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=848627\">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%288a%2C%284b%29%29=%28log%28%284b%29%29%29%2F%28log%28%288a%29%29%29 ALIGN=MIDDLE  ALT=\"log%288a%2C%284b%29%29=%28log%28%284b%29%29%29%2F%28log%28%288a%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Change of base rule.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%288a%2C%284b%29%29=%28log%28%284%2A32%29%29%29%2F%28log%28%288%2A1%29%29%29 ALIGN=MIDDLE  ALT=\"log%288a%2C%284b%29%29=%28log%28%284%2A32%29%29%29%2F%28log%28%288%2A1%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in a = 1 and b = 32.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%288a%2C%284b%29%29=%28log%28%28128%29%29%29%2F%28log%28%288%29%29%29 ALIGN=MIDDLE  ALT=\"log%288a%2C%284b%29%29=%28log%28%28128%29%29%29%2F%28log%28%288%29%29%29\"   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=log%288a%2C%284b%29%29=%28log%28%282%5E7%29%29%29%2F%28log%28%282%5E3%29%29%29 ALIGN=MIDDLE  ALT=\"log%288a%2C%284b%29%29=%28log%28%282%5E7%29%29%29%2F%28log%28%282%5E3%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite 128 and 8 as powers of 2.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%288a%2C%284b%29%29=%287%2Alog%28%282%29%29%29%2F%283%2Alog%28%282%29%29%29 ALIGN=MIDDLE  ALT=\"log%288a%2C%284b%29%29=%287%2Alog%28%282%29%29%29%2F%283%2Alog%28%282%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the rule log(A^B) = B*log(A)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%288a%2C%284b%29%29=7%2F3 ALIGN=MIDDLE  ALT=\"log%288a%2C%284b%29%29=7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Another approach\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4b+=+%288a%29%5Ec ALIGN=MIDDLE  ALT=\"4b+=+%288a%29%5Ec\"   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=4%2A32+=+%288%2A1%29%5Ec ALIGN=MIDDLE  ALT=\"4%2A32+=+%288%2A1%29%5Ec\"   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=128+=+8%5Ec ALIGN=MIDDLE  ALT=\"128+=+8%5Ec\"   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%5E7+=+%282%5E3%29%5Ec ALIGN=MIDDLE  ALT=\"2%5E7+=+%282%5E3%29%5Ec\"   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%5E7+=+2%5E%283c%29 ALIGN=MIDDLE  ALT=\"2%5E7+=+2%5E%283c%29\"   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=7+=+3c ALIGN=MIDDLE  ALT=\"7+=+3c\"   DISABLED_style= \"max-width:90%; height:auto;\" > Since the bases of the previous equation are equal, the exponents must be equal.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+7%2F3 ALIGN=MIDDLE  ALT=\"c+=+7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Answer: <font color=red>7/3</font><BR>\n" );
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